Cbetting Range
I'm cbetting all sets, Ax, all pp's > 99, KsQs. Calling the raise is meh ~ I'd go with suggestions in OP.

Cbet Size
I would prefer 5.5 or 6bb cbet into a 9bb pot. I like Sklansky's reasoning here (from NLH TAP): we size our cbets based on the likely draws out against us (whether or not we caught air). Since it's a TAGG, I'm thinking all pp's and just a few BW's and/or top sc's complete his range. Generally, he's not connecting very well with the flop, so a smallish cbet is fine here, imo. I don't ever bet only 1/2 pot like IOPQ, but I'd certainly bet smallish, 60% or so.

This changes a lot with with a looser cold caller, because then the 97s connects with a good bit of villain's cold calling range. I probably cbet the same range but bet bigger, 7 - 7.5 bb's, to charge more for the draws.