NL100 KK 3-b-spot checkup

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NL100 KK 3-b-spot checkup

Blinds: $0.50/$1.00 (6 Players) BN: $63.66
SB: $108.33
BB: $100.00
UTG: $152.92
MP: $182.19
CO: $190.07 (Hero)
Preflop ($1.50) Hero is CO with K K
UTG raises to $2.25, MP folds, Hero raises to $8.00, 3 folds, UTG calls $5.75
Flop ($17.50) 3 9 T
UTG checks, Hero bets $10.00, UTG raises to $24.50, Hero calls $14.50
Turn ($66.50) 3 9 T 4
UTG bets $33.00, Hero calls $33.00
River ($132.50) 3 9 T 4 8
UTG bets $87.42 and is all in, Hero folds

I have only 100 hands on villain, so far he's 26/21, 3/4 fold to 3-b. Not too much to take away from that but the fact that he's a reg for now.

First question, regarding Flopplay: How do we construct a reasonable checkback-range here? I'd assume we check TT, big draws like QsJs and AxAs some percent of the time?
Secondly, what raising-range do we assign villain considering he's basically unknown? I was going w almost all FDs (some nutfds, some combodraws), some bd-draws like KcJc and all 2-p+ - comments on that?

Lastly, playing around w CREV - and I have no idea if this is in any way correct tbh - I came to the conclusion that, if I call 2-p+/AA w/o the As, I'd roughly call 66% of my riverrange, which makes KK a clear fold if we just look at it this way. But....can we even just look at it this way, if you know what I mean?

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