So your team is extremely fun to use, I've battled on the ladder with it a couple of times now and it's definitely unconventional compared to regular rain teams although I'm sure that's intended. One thing I've noticed that this team could possibly worry about is Urshifu-Rapid-Strike, Blissey, and Rillaboom. I was essentially testing this team out with my friend and we found three sets that can cause some trouble:

Urshifu-Rapid-Strike @ Protective Pads
Ability: Unseen Fist
EVs: 252 Atk / 4 SpD / 252 Spe
Jolly Nature
- Surging Strikes
- Close Combat
- Thunder Punch
- Aqua Jet

Rillaboom @ Life Orb
Ability: Grassy Surge
EVs: 252 Atk / 4 SpD / 252 Spe
Adamant Nature
- Grassy Glide
- Swords Dance
- Superpower
- U-Turn

Blissey @ Leftovers
Ability: Natural Cure
EVs: 252 HP / 252 Def / 4 SpD
Bold Nature
- Seismic Toss
- Toxic
- Soft-Boiled
- Teleport
Urshifu-Rapid-Strike with Protective Pads is incredibly good against Ferrothorn, Close Combat being a 2HKO and there being no recoil from Iron Barbs. Due to this set using Body Press over Power Whip, Ferrothorn doesn't do much to Urshifu-R. Zapdos isn't a safe switch in either due to Surging Strikes OHKO'ing in the rain and Protective Pads defending Urshifu-R from paralysis. Urshifu-R can also do Surging Strikes on the second turn against Ferrothorn just in case they switch Zapdos in. Pelliper in this team uses a specially defensive EV spread so Thunder Punch OHKO's. Urshifu-R outspeeds and OHKO's Porygon-Z with Close Combat too. Now if Tapu Lele is run over Zapdos then it's still not a switch in due to Surging Strikes being an OHKO. Urshifu-R can feed off of your rain and use it to it's advantage. Zapdos and Tapu Lele outspeed, yes but if it's run with Blissey, Urshifu-R will have a switch in against them. If Tapu Lele uses Psyshock against Blissey it can be an easy switch into Rillaboom which takes it. Rillaboom proceeds to set up Swords Dance because it's an obvious Ferrothorn switch in. A Superpower at +2 OHKO's Ferrothorn and can proceed to pressure the team.
252 Atk Urshifu-Rapid-Strike Close Combat vs. 248 HP / 252+ Def Ferrothorn: 236-278 (67.2 - 79.2%) -- guaranteed 2HKO
252 Atk Urshifu-Rapid-Strike Surging Strikes (3 hits) vs. 248 HP / 252+ Def Ferrothorn in Rain on a critical hit: 84-99 (23.9 - 28.2%) -- approx. 98.9% chance to 4HKO
252+ Def Ferrothorn Body Press vs. 0 HP / 0 Def Urshifu-Rapid-Strike: 97-115 (28.4 - 33.7%) -- 0.3% chance to 3HKO
252 Atk Urshifu-Rapid-Strike Surging Strikes (3 hits) vs. 0 HP / 0 Def Zapdos in Rain on a critical hit: 324-381 (100.9 - 118.6%) -- guaranteed OHKO
252 Atk Urshifu-Rapid-Strike Thunder Punch vs. 248 HP / 8 Def Pelipper: 328-388 (101.5 - 120.1%) -- guaranteed OHKO
252 Atk Urshifu-Rapid-Strike Close Combat vs. 0 HP / 0 Def Porygon-Z: 524-620 (168.4 - 199.3%) -- guaranteed OHKO
252 Atk Urshifu-Rapid-Strike Surging Strikes (3 hits) vs. 0 HP / 0 Def Tapu Lele in Rain on a critical hit: 354-423 (125.9 - 150.5%) -- guaranteed OHKO
252 SpA Zapdos Thunder vs. 252 HP / 4 SpD Blissey: 135-160 (18.9 - 22.4%) -- possible 5HKO
252 SpA Zapdos Hurricane vs. 252 HP / 4 SpD Blissey: 135-160 (18.9 - 22.4%) -- possible 5HKO
252 SpA Zapdos Weather Ball (100 BP Water) vs. 252 HP / 4 SpD Blissey in Rain: 123-145 (17.2 - 20.3%) -- possible 5HKO
+2 252+ Atk Life Orb Rillaboom Superpower vs. 252 HP / 252+ Def Ferrothorn: 432-510 (122.7 - 144.8%) -- guaranteed OHKO

Urshifu-Rapid-Strike @ Protective Pads

Ability: Unseen Fist
EVs: 252 Atk / 4 SpD / 252 Spe
Jolly Nature
- Surging Strikes
- Close Combat
- Thunder Punch
- Aqua Jet

Rillaboom @ Life Orb

Ability: Grassy Surge
EVs: 252 Atk / 4 SpD / 252 Spe
Adamant Nature
- Grassy Glide
- Swords Dance
- Superpower
- U-Turn

Blissey @ Leftovers

Ability: Natural Cure
EVs: 252 HP / 252 Def / 4 SpD
Bold Nature
- Seismic Toss
- Toxic
- Soft-Boiled
- Teleport
Urshifu-Rapid-Strike with Protective Pads is incredibly good against Ferrothorn, Close Combat being a 2HKO and there being no recoil from Iron Barbs. Due to this set using Body Press over Power Whip, Ferrothorn doesn't do much to Urshifu-R. Zapdos isn't a safe switch in either due to Surging Strikes OHKO'ing in the rain and Protective Pads defending Urshifu-R from paralysis. Urshifu-R can also do Surging Strikes on the second turn against Ferrothorn just in case they switch Zapdos in. Pelliper in this team uses a specially defensive EV spread so Thunder Punch OHKO's. Urshifu-R outspeeds and OHKO's Porygon-Z with Close Combat too. Now if Tapu Lele is run over Zapdos then it's still not a switch in due to Surging Strikes being an OHKO. Urshifu-R can feed off of your rain and use it to it's advantage. Zapdos and Tapu Lele outspeed, yes but if it's run with Blissey, Urshifu-R will have a switch in against them. If Tapu Lele uses Psyshock against Blissey it can be an easy switch into Rillaboom which takes it. Rillaboom proceeds to set up Swords Dance because it's an obvious Ferrothorn switch in. A Superpower at +2 OHKO's Ferrothorn and can proceed to pressure the team.
252 Atk Urshifu-Rapid-Strike Close Combat vs. 248 HP / 252+ Def Ferrothorn: 236-278 (67.2 - 79.2%) -- guaranteed 2HKO
252 Atk Urshifu-Rapid-Strike Surging Strikes (3 hits) vs. 248 HP / 252+ Def Ferrothorn in Rain on a critical hit: 84-99 (23.9 - 28.2%) -- approx. 98.9% chance to 4HKO
252+ Def Ferrothorn Body Press vs. 0 HP / 0 Def Urshifu-Rapid-Strike: 97-115 (28.4 - 33.7%) -- 0.3% chance to 3HKO
252 Atk Urshifu-Rapid-Strike Surging Strikes (3 hits) vs. 0 HP / 0 Def Zapdos in Rain on a critical hit: 324-381 (100.9 - 118.6%) -- guaranteed OHKO
252 Atk Urshifu-Rapid-Strike Thunder Punch vs. 248 HP / 8 Def Pelipper: 328-388 (101.5 - 120.1%) -- guaranteed OHKO
252 Atk Urshifu-Rapid-Strike Close Combat vs. 0 HP / 0 Def Porygon-Z: 524-620 (168.4 - 199.3%) -- guaranteed OHKO
252 Atk Urshifu-Rapid-Strike Surging Strikes (3 hits) vs. 0 HP / 0 Def Tapu Lele in Rain on a critical hit: 354-423 (125.9 - 150.5%) -- guaranteed OHKO
252 SpA Zapdos Thunder vs. 252 HP / 4 SpD Blissey: 135-160 (18.9 - 22.4%) -- possible 5HKO
252 SpA Zapdos Hurricane vs. 252 HP / 4 SpD Blissey: 135-160 (18.9 - 22.4%) -- possible 5HKO
252 SpA Zapdos Weather Ball (100 BP Water) vs. 252 HP / 4 SpD Blissey in Rain: 123-145 (17.2 - 20.3%) -- possible 5HKO
+2 252+ Atk Life Orb Rillaboom Superpower vs. 252 HP / 252+ Def Ferrothorn: 432-510 (122.7 - 144.8%) -- guaranteed OHKO