2 pair facing turn overbet into 2 players

PokerStars No-Limit Hold'em, 5.5 Tournament, 25/50 Blinds (9 handed) - PokerStars Converter Tool from FlopTurnRiver.com
UTG+1 (t2920)
MP1 (t3049)
MP2 (t3775)
MP3 (t10383)
CO (t2800)
Button (t3973)
SB (t3620)
Hero (BB) (t3665)
UTG (t1815)
Hero's M: 48.87

I thought this was a pretty standard pass (well it is really) at first since my c/r has been called by both players then he overbets the turn.

But thinking more about it is this maybe he is on a draw and he just wants to take the pot whilst having outs? No real stats but MP1 is 26/0 and MP3 is 29/0 over about 25 hands. So many SD / FD combos. But he could have a better 2 pair and be defending against the draws but wouldnt he re-raise me on the flop with say A10?

Preflop: Hero is BB with 6, 10
2 folds, MP1 calls t50, 1 fold, MP3 calls t50, 3 folds, Hero checks
Flop: (t175) A, 6, 10 (3 players)
Hero checks, MP1 bets t101, MP3 calls t101, Hero raises to t450, MP1 calls t349, MP3 calls t349
Turn: (t1525) 7 (3 players)
Hero checks, MP1 checks, MP3 bets t2650, hero?

i don't understand turn check, as played probably folding.

I agree that the turn check makes very little sense. You are expected to bet after you make the c/r on the flop so I would still bet.

I'm not folding 2 pair in the early stages of a tournament hardly ever. I don't see why the 7c should scare you here. So I get it all-in as played.

I was playing quite a few tables and seem to remember just getting a little thrown by them both calling. But would check-calling a reaonable turn bet be a horrible play with the intention of both keep the pot small and letting him fire his one pair hands if blanks come off?

Although potentially giving free cards to 2 players is bad.

Also what are we doing if the turn came say a high diamond?

bet flop, bet turn, jam as played, if this is a standard pass you play too tight.

if a diamond comes check turn and mostly give up

I'm not folding 2pair here. Pre/Flop is fine, but you need to bet/call that turn instead of check/fold.

Basically +1 to Chardrian

I think you really need to bet flop, as played agree with not folding

The way you have played the hand, it's hard for MP3 to give you credit here for a strong hand. His raise size indicates his bet is almost never for value, so you can expect two pair to be good a vast majority of the time here. I'm stacking off in this spot, but overall, I don't like the way the hand was played.

Just to add, because there are loads of potential draws available, you need to bet the turn and extract value from the draws, which may check behind if you don't lead the turn. Giving free cards in spots like this is a bad choice. So many cards can fall on the river where you are either paying off a draw, folding to a bluff, betting and folding out the missed draws and so on.