Hi.
100bb in a 3bet pot = never folding here. Sometimes you'll see KQ/AQ being raised for thin value, and you'll typically run into many flush draws as well. maybe he raises QT/QJ if he wants to merge his raising range too.
If you are not happy with stacking off here you have some other options
1. Check/call: Take the passive line and induce bluffs. Mostly applicable if you think your hand is not good for 3 streets. I think we can have 3 streets from AQ/KQ so I don't like this option.
2. Bet/fold: This is good when opponent is ultra passive.
3. Check/raise: Good if villain is expected to bet a lot when checked to, and also bet for thin value with KQ/AQ and never fold to raises. In this way we can induce some bluffs, and also maximize our value before bad turns and rivers come.
I like check/raise or bet/call, both are fine to me.
Thanks.