His range isn't capped, so not really sure what you mean. Any ways, pre-flop is your biggest mistake. I'm really surprised you didn't get more than 1 caller even though your raise was large.
I also think that if you thought your opponent was capable of bluffing
that you're betting off checking the flop as opposed to betting. But that's the main issue w/ being out of position. You're in a low SPR spot w/ a mediocre hand. There's no reason to do this live when you can raise a much wider range of speculative hands in position.
You should be shoving or folding the turn, but as played if you call the turn you have to call that blank river. Ultimately you'll have a better read than what we can provide because you played it live. But I think pre I wouldn't be making these kinds of raises OP as I don't think it will do enough for your image, and usually at these stakes live image doesn't really matter too much any ways.