It folds to a 22/19 with a 35% ats. Villain opens for 3bb, SB folds, and the action's on Heroin the BB. How would you play your range here?

My attempt at seeing whether 3bet bluffing will be profitable vs Villain.

Villains pre-flop range: 22+, A2s+, K2s+, Q9s+, J9s+, T9s, 98s, 87s, 76s, 65s, 54s, 43s, 32s, A2o+, K9o+, QTo+, JTo, T9o

Total 462 combos ~ 35% of hands.

If Hero 3bets to 10bb villain has to continue with 34% to avoid being exploited.

If villain continues with: TT+, ATs+, A5s-A2s, KJs+, QJs, JTs, AQo+, KQo

Then he's continuing only 0.246 or ~25% of the time and folding the remaining 75%. Does this seem reasonable? Would we not be able to exploit a villain with 35% ats very easily then?

So once we figure out that we can gain an advantage on someone by 3bet bluffing, how do we figure out what our 3bet bluffing frequency should be in relation to our 3bet for value range?

So would 3betting JJ+ AK for value and some 3bet bluffs be a decent strategy ( I don't know how to get an estimate of how many). Then stack off with like KK+ only.

Sorry for the disorganised post.