KK flops the world 3-way vs TAG and whale

original raiser is seemingly decent tag 16-13-5 over 500. Seems to be way too keen to call 3-bets (67%) and doesn't appear to have a 4b range. We get involved pre-flop quite a bit, but haven't really gone past a flop yet. I 3b him more than most, he does the same to me. SB is ubernit 8-6 and doesn't squeeze. BB is a 60-15 whale over 10 hands.

Pre-flop, calling vs raising to keep the whale in or even invite him to spew?
Flop, betting into two players here looks pretty damn strong and i expect a c-bet to work here heaps when i have T9s/A5 types of hands = check back ok? I obviously c-bet here all day if I'm HU vs the TAG. Given multiway pot size I don't need heaps of action to get stacks in, except we're baby deep. Thing is if i check flop -> bet turn I suddenly look monster-strong + it's way easier to get stacks in if it's over 3 streets. Turn sizing as played?

Full Tilt No-Limit Hold'em, $0.50 BB (7 handed) - Full Tilt Converter Tool from FlopTurnRiver.com

Hero (Button) ($62.40)
SB ($50.25)
BB ($68.55)
UTG ($50)
MP1 ($50.75)
MP2 ($49.50)
CO ($59.40)

Preflop: Hero is Button with K:spade:, K:club:
2 folds, MP2 bets $1.75, 1 fold, Hero raises to $5.50, 1 fold, BB calls $5, MP2 calls $3.75

Flop: ($16.75) K:heart:, 10:heart:, 10:club: (3 players)
BB checks, MP2 checks, Hero checks

Turn: ($16.75) 4:club: (3 players)
BB checks, MP2 checks, Hero bets $8

meh i probably just bet this flop.
a fair portion of ranges have draws drawing dead to you on this flop so get value now and on the turn.
also when you check the flop and turn is so bricky and you bet you like have the nuts.

Edit: I think pre is best as played. I dont think bb will spazz and squeeze with air nearly as often as he'll flat your 3b

I like your betsize but I'd just bet the same amount on the flop. There's a fair amount of draws the whale is likely to continue with and he's liable to call you down light due to your aggro history. If he's the type that will fire when checked to ott then flop check behind is an alright play also.

Yeah I think I'd bet flop smallish with most of my range.