I was playing a hand at 2/5 cents NL Hold'em online, and I was unsure about whether or not my thought process was good or not. I was in MP, the villain was small blind. I'm asking specifically with this hand because it's a big hand with AKo. I had only been at the table for around 30 hands or so, and I haven't noticed any specific tendencies from this player. and I'm around 110 deep as the smaller stack.
I'm dealt AKo, it folds to me (MP) and I bet 3.5x, there are two callers between me and villain (SB), and villain raises to around 18x. BB folds and it's back to me, I four-bet to around 50x the villain calls and its heads up between us. So far I think this is okay but I am open to criticism.
The flop comes 9 8 4 rainbow, villain checks and my thought process is as follows: my opponent doesn't have AA or KK in their range, most players I think are also five-betting with QQ pre-flop, so he has AK, AQ, some QQ, and maybe JJ and 10s if they are loose. I have AA and KK in my range, and I can probably get my opponent to fold a lot of strong hands if I shove. Worst case I have some equity against everything, so I shove around 65x and I get called. Villain shows QQ (and I lose). Was this a bad bet?