KK on the flop

Party Poker No-Limit Hold'em, $0.50 BB (10 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

saw flop|saw showdown

SB ($9.50)
BB ($23.20)
UTG ($32.05)
UTG+1 ($48.25)
UTG+2 ($48.75)
MP1 ($37.85)
MP2 ($37.34)
MP3 ($51.65)
CO ($102.75)
Hero ($70.75)

Preflop: Hero is Button with K, K.
1 fold, UTG+1 calls $0.50, UTG+2 calls $0.50, 4 folds, Hero raises to $3, 1 fold, BB calls $2.50, UTG+1 raises to $8.5, UTG+2 folds, Hero calls $5.50, BB calls $5.50.

Flop: ($26.25) J, T, 5 (3 players)
BB calls $22.70 (All-In), UTG+1 calls $14.70, Hero ??

Hrm.

Ok. I honestly can only think of one or two hands in this position that UTG + 1 would make this move with. They look like this: AA, or KK. You already have KK, so the odds of him having KK also... not so good.

What's scarier, is even donk's know that JT suited is sometimes referred to as "Rocket Killers." So BB's willingness to call such a huge amount screams either JT or a small/medium PP.
Say 55, or TT.

Then BB Raises all in. Followed by UTG +1 calling. There's an old addage in poker: You should worry more about the caller than the raiser. Because he has a hand.

Look up to the ceiling, say to yourself. I ain't goin broke with cowboys, curse, a couple of times if you have to. Click that fold button. Pray that the read is right.

That's what I'd do.

limp raise from UTG+1 looks like AA

please push preflop. If he shows you AA reload and make a note and hope he doesnt do it with QQ/AK and wastes your equity when you fold it next time.

Sometimes you'll see people show up with worse hands like AK or QQ here but typically it's AA. Without a read I'd push PF and make a note what hand he is limp-RRing with from EP. I'm not folding the flop.

Are JJ and TT out of the question?

Think I know the answer to this but:

Say you push preflop, he calls and flips AA.

Do we then note he limp reraises with AA (or in another situation 4 bets with AA) and then if we are in the same situation again with this player fold our kings? Or do we just note that he did it with rockets this time and that next time we'd still play the hand the same?

if he did it with rockets once, and then does it to us again thn we can fold Kk if no odds and feel ok about it. If you see him show anything but AA at any point afterward, we stack off always here without thought until he adjusts.