This is such a common thing.
blinds vs late pos raisers.
what I do is if think btn is stealing i will 3bet BB, if btn fires small 4bet and hes a good reg and I know his style i will flat his 4 bet and play him post flop holding a10+ or PP, even 89s+, esp deep and blinds are big ..
If i raises from btn deep and BB 3bets me I would fire a small 4bet coz its a standard blind protection spot, also ,
you should also 5 bet him PRE if hes an aggressive player