TP and 2nd NFD face 3 way AI after c/r

Full Tilt - $0.50 NL (6 max) - Holdem - 4 players
Hand converted by PokerTracker 3

BTN: $44.30
SB: $50.00
BB: $67.60
Hero (UTG): $50.00

SB posts SB $0.25, BB posts BB $0.50

Pre Flop: ($0.75) Hero has K J

Hero raises to $2.00, BTN calls $2.00, fold, BB calls $1.50

Flop: ($6.25, 3 players) 7 K 8
BB checks, Hero bets $4.00, BTN calls $4.00, BB raises to $18.00, Hero calls $14.00, BTN raises to $42.30 and is all-in, BB raises to $65.60 and is all-in, Hero

This was like the 10th hand or so at the table so I don't have any reads on the BB so let's just assume he is a standard reg. The BTN is a fish from what I can tell due to him limping multiple hands preflop.

I chose to flat the BB's c/r because even if it is a range of entirely sets I think I can get the BTN to call with some draws and possibly worse Kx if I flat instead of jamming. This is the main spot I'd be interested in hearing people's thoughts, though I think keeping the fish in the pot is usually going to work out well as a lot of his calling range is dominated.

Now that the fish shoves and the c/r over calls it's kind of like wtfff. Being up against the NFD from the BTN would obviously suck a ton. However, if I give both of them a few more draws or even a hand like AK I can profitably get it in here with my hand so this may just be kind of standard given that at least one of the players is a fish and I have massive odds to call.