Seems like most 'readless' players will just minraise a flush draw (and then call your allin anyway).
This guy slightly more than minraised - and he basically 'bet pot'.
I would be more likely to suspect TT/AT here and let it go.
If he had raised more or less, the push is probably best.

I may give up TPTK too easily against a player on whom I have no read...but I consider I lost $4.50 here instead of my whole stack, and was probably beat with an unknown chance to suckout.

I tend to auto-categorize a 'readless' player as loose/passive - so if they start giving action, they've probably got a real hand. I think even a loose/passive AQ/AJ just calls down here a lot of the time.

Of course, even a loose/passive with AQ of clubs will probably reraise here - but most times I think it's still just a minraise...anyone other $25 NL players with a feel for the general field's play may contradict and I would be interested. Certainly some sites may be more 'fishy' in this respect than others.

I do like that, since you made your decision, you went ahead and put the rest in on the flop - no reason to fool around with turn action given stack sizes.