Yes you need a Blitter for SS, it may be nice on a MSTE.
I assume the TT halts with a BUS Error when you try and use the Blitter. Could one not latch onto the BUS Error and then check the error, if it is a Blitter command then run it through a Blitter emulator?
This kind of thing can be done on an ST so that it will run 030 code (V-slowly).