The method
I've always used is to etch the board as usual, wash it, then
give it another (longer-than-normal) UV exposure with no artwork -- thus
'fogging' the remaining resist. Then pop it back in the developer and it
will all strip off nicely. Remember on most photoresist boards, the bits
that are exposed to UV are the bits you want to etch away (the artwork is
black for the traces, etc), so the resist that's been exposed is the
stuff that comes off.
I am wondering what you have against a stripper like acetone. I have
Absolutely nothing. But it's one more 'tray of liquid' to have around. I
find it easier to just stick the board back in the UV box for a minute or
so, then back in the developer
-tony