reraise the flop, with yes, again, the nut straight

[technologic]

2/5 mirage, 500 max buy in.

i have around 850 in chips.

limped in the UTG+1, and MP2, i call with 78s in the LP, sb completes, bb checks.

flop is a beautiful 69T rainbow. checked to me, i bet 25, i get checkraised by this girl to 100 straight in the mp2. she has around 1600 in chips, and i've seen her take out ppl with usually strong hands, ie set, etc. i decide to just call.

turn is a Js, giving me a flush draw and still the nuts. she bets 100 into me. i make it 500 to go, with around 270 left. she calls.

river 2c. she puts me all in, i insta call.

is the flop or turn play bad? should i have raised the flop? or raised less on the turn?