Thank you in advance for your positive, constructive feedback.

$2/$5 NL live game. 9-handed. I have sat at the table for less than 30 minutes. The only opponent I have any meaningful read on is one seat to my right (older gentleman, loose-passive-somewhat deceptive). My best approximation of the overall feel of my table was: 70% mix of either loose-passive-straightforward or tight-passive-straightforward, 30% mix of loose-aggressive or tight-aggressive.

My stack = $360. Most stacks at the table range from $200 to $650.
I am sitting at UTG + 3 with 10 10.

UTG and UTG+1 fold. UTG+2 (aforementioned opponent) calls. I raise to $20. HJ, BU, SB, and UTG+2 all call. Preflop pot post-rake = ~$95.

Flop: A J T

SB, BB, and UTG+2 all check to me. How would you play your hand at this point? I'll post my play once I have heard back from some of you. Thanks again for your time!

throw out 3 quarters and prepare to go broke on flop and/or safe turns.

most likely b/f this otf, the range your gii here against is not that, great, your either gii vs a flush or str8. not sure how much i like to bet here , maybe 50.. but thoughts on betsize here would be great.

i would understand that broke ott on a safe brick , but going broke otf is just reckless imo. obviously it depends on villains post flop tendencies but why do u want to go broke on this flop?

Bet close to pot on flop, I call any reasonably action on flop and blank turn. I think a fold on the flop would be pretty weak considering the decent amount of pair+draws out there, two pairs, etc.

bet pot/call shove

Thanks everyone for your feedback. I'll post my reply in the following format:
A) what I actually did
B) my rationale for my decision, then what actually ensued from that hand
C) my analysis of my decision in hindsight
---------------
A) I pushed all-in on the flop.

B) Out of five players (including myself), I was fairly confident that I had the best hand at this point (or rephrased, I believed that in the long run, my hand would win the largest percentage of the time). If someone is on a flush draw, especially if they had K or Q, then even a pot-sized bet gives them the correct odds to call (they need 1.9:1, if my understanding is correct). Given that these tables are very often on the loose side, I felt an overbet would make the cost "wrong" for my opponents. I didn't see the point in overbetting without ALSO being prepared to go broke. So all-in was my decision.
Villain (one seat to my left) thought for about 90 seconds, then decided to go all-in. Everyone else folded. He flipped over K K
Turn = 5
River = 8
He outdraws me on the turn with nut flush vs my set. Sigh.

C) I could have made an "info" bet on the flop of, say, 1/2 to 2/3 pot (says for example, $60). If Villain calls, then it's a $220 pot going into the turn. The 5 would "scare" me, then if Villain showed strength, I'd be hard pressed to call any significant bet (unless his turn bet gives me correct odds to call and see the river, I'd need ~5:1 odds, including implied odds to even consider that). If he pushes all-in against my $60 bet, then I have to weight my pot odds to call plus whether or not he has a flush, two pair or bigger set (most likely a made flush). But at least had I decided to fold, then I'm down $80 instead of the $360 I lost. Still disappointing because, in hindsight, my read of the situation was correct, I was simply outdrawn.

Again, I welcome positive, constructive feedback. Thanks very much for your time.

lol sad but true. +1

ahh the typical flat call with KKs. "you can never be too careful pre but i will be damned if i fold to an over shove otf when I am always a dog".

I'm ready to go broke here as well. shoving is a pretty large over bet and sometimes may only get called by better. I'd bet around 100 and call a shove and be prepared to get all in ott if it bricks.

Bet otf be ready to get it in...like someone said if turn bricks ship.

This is pretty much a bad beat