I've been trying to work on figuring out how to play my entire range in different spots. I've been doing this, by trying to figure out a somewhat optimal way to play my range and then determine how I would adjust my ranges based on different player types/tendencies.

Situation: I face an open from the SB (40% range) and 3bet (15% range) and SB calls. Flop is 988 rainbow.

I've constructed my flop range when cked to as follows and would like some advice on it.

Value bets: Trips or better (18%)
Value Checks: 9-AA w/ an OE, 2 backdoor flush draws, or 1 backdoor flush draw & a nut gutshot; nut OE, good wraps (27%)
Bluff bets: 9-AA (not included in value checks) & nut gutshots (36%)
Bluff Checks: Everything else (19%)

1) Should I move any of my trips+ hands in my value checking range and if so, would it be best to include the strongest or weakest ones?
2) Should I move any of my best AA & KK hands into a value betting range?
3) Should I check all of my AA & KK hands and bluff bet with more weak OE & gutshots?

I appreciate the help.