This single hand doesn't do anything to show us what your raising range is, so I can't really answer that question. I wouldn't bet pot on the turn because you are going to force out a lot of the hands that you are beating (he probably has a pair below TX or a draw that hasn't improved given that he flat called your flop bet). The huge bet is going to prevent you from getting value from a lot of worse hands.
I think that your bet/call on the turn is perfectly standard and I don't think that his play is really out of line at all. Just a cooler IMO.

I have no idea what your raising range is, but presumably your button open range is a lot wider than like QQ+ or something. Suited connectors flop very well and tend to have good implied odds (the deeper the stacks the better). I think that you should be opening ~60% of hands from the button at this stage.

Ugh, I've lost so much money on lower stakes in spots like this that I started to think a bit more about these situations.
My current understanding is that this turn play by him is very, very polarized - it's either complete air or this turn-card gave him two pair or a set, weighted 80% towards two-pair+, so IMO if you play it like this you have to fold to his shove.  I also tried to see this from fish's perspective:
Fish doesn't know that it's not profitable for him to call you very light at the flop - and if he gets lucky at the turn and make his two pair or set there, he doesn't know that he has to protect it against draws or that you may check behind that turn etc., he may not even think at all and just press buttons.  But if he does think, he'll often come to the conclusion that it's best to "trap" you with what he thinks is the absolute nuts and slowplay it, so he'll do weird things like mindonk into you or check/minraise, or check/call, mindonk river or other strange things.  Fish basically doesn't think about how to get most value with the hand or how to play it profitably, he's afraid you may fold if he plays it aggressively.
However, since fish also isn't very smart he also has this native instinkt "huge bet == very strong hand" - so if you fire full pot at him, especially if you don't do that very often at the turn, this may convince you that you'll now never fold, so he can safely shove on you.
Ok, maybe I'm trying to interpret too much into fish's mind here ...
Well, I still wouldn't bet that turn so big that it should be obvious to him that you have a very strong hand that you don't want to let go - his range is not exclusively flush-draws, there are also a lot of tens, weaker pairs and most likely even overcards in it - so you don't need to bet full pot to protect against draws.
Betting smaller at the turn also allows you to fire more turns - like a ten, or a flush-draw with some overcards for instance.  If you only bet overpairs+ at the turn, then you make it very easy to play suited connectors optimally against you because he has huge implies against you when he hits.
I'd bet 90 on the flop and 200 at the turn - and it's standard for me to get this in.
However, this also depends on ranges and frequencies - if you only bet the turn with very strong hands and check behind almost always, then a check/raise is a lot more scary than if you're very aggressive.
Jack