View all the monotype teams here: https://pastebin.com/S419KvS5
 
Pokemon Battle Tower Monotype team challenge
DRAGON team
Version: 1.0
 
L (Latios) @ Lum Berry
Ability: Levitate
Level: 50  
EVs: 4 HP / 252 SpA / 252 Spe
Modest nature  
IVs: 31 HP / 0 Atk / 31 Def / 31 SpA / 31 SpD / 31 Spe  
- Psychic
- Thunderbolt
- Dragon Claw
- Surf

S (Salamence) @ Choice Band
Ability: Intimidate
Level: 50
EVs: 4 HP / 252 Atk / 252 Spe
Adamant nature  
IVs: 31 HP / 31 Atk / 31 Def / 31 SpA / 31 SpD / 31 Spe  
- Earthquake
- Aerial Ace
- Brick Break
- Double-Edge
 
L (Latias) @ Leftovers
Ability: Levitate
Level: 50
EVs: 180 HP / 108 SpA / 220 Spe
Timid nature  
IVs: 31 HP / 0 Atk / 31 Def / 31 SpA / 31 SpD / 31 Spe 
- Psychic
- Thunderbolt
- Calm Mind
- Recover
 
Notes:
- The original 3rd Pokemon was Kingdra, but then I realized running Calm Mind Latias would allow my Latios lead to have Surf instead of Calm Mind, which speeds up the early rounds and gives coverage against various Fire, Rock and Ground types.
- Since Latios has the Lum Berry and Latias can set up, Choice Band Salamence is better than Dragon Dance Salamence.
- Since Latios is fast and has 4 strong attacking moves, this team relies on revenge killing. Both Salamence and Latias are excellent revenge killers.
- Each of Salamence's 4 moves serves a unique purpose -- Earthquake does the most damage with no recoil, Aerial Ace hits through Double Team and Brightpowder, Brick Break hits the most dangerous Pokemon super effectively, and Double-Edge does the most damage and is the most reliable move to be locked into.