Playing postflop when perceived ranges have missed
When a hand goes postflop there are 4 scenarios:
1. we both hit
2. we hit / they miss
3. we miss / they hit
4 we both miss
I want to to discuss about how we should play when both players perceived ranges have missed , what does this mean?
For example , we are dealt AQo , stack sizes are 100bb , an unknown villain raises from MP and we call him from the button , we believe that he raise around 11-15% of his hands which means he has a lot of unpaired cards in his range , everyone else fold and the flop comes: 8-2-4 rainbow , now this is a clear situation where both player's perceived range have missed.
We assume that our hand is playable and we are probably ahead of his range otf but since he is unknown , his patterns might be unpredictable , for example if we float him he may keep on barreling or if we raise his cbet he may 4-bet us , despite we are ahead we are in a tough situation.
Whats the best way to proceed here? in theory whats the perfect way to play out the hand?
Same scenario arises when we flat 3-bets with good broadway cards , we simply cant play fit or fold but we cant be reckless either , sometimes we may have to give up especially when our range appears to be on a disadvantage but there are flops we have to fight for , no matter how hard i think this through , i cant think of a perfect way to play these situations without reads , can anyone elaborate?