If V1 is a maniac as you say, the optimal way to beat these kind of players is to tighten your pre flop ranges especially OOP. V1 will make more mistakes calling than betting, and putting your V1 on a track for failure is always +EV.
4b jam shove pre against V in this spot as his 3b range in LP most likely consists of many KQs, 55+ type hands. TT is way ahead of his PF range here, which will help you avoid sticky flop situations such as these. Also a polarized 4b here will likely fold out V2 for most of his range, increasing your overall equity in the hand.
However, OTF in your situation, given the fact that you only flatted the 3b he's never going to believe that you have a hand like JJ+ because of obvious reasons. This is one of those interesting spots where both your ranges hit this board pretty evenly, so I usually prefer to check/call these kind of board textures.
Here's the equity distribution of this board texture given what I presume to be a reasonable assumption for MP1 and LP ranges:
http://www.pokerstrategy.com
Board: 7dQs7s
Equity Win Tie
MP1 49.93% 47.13% 2.80%
{ TT-55, AJs-A9s, KJs+, QTs+, JTs, AQo-AJo, KQo }
CO 50.07% 47.27% 2.80%
{ 66+, A5s+, K9s+, Q9s+, JTs, ATo+, KTo+, QTo+ }
Re-evaluate OTT, go from there. But mainly your mistake stemmed from that 3b flat with TT against a V who has an incredibly wide 3b range from LP.