Have you tried running a VNC client on the SE fed by your faster machine?

I have BasiliskII and PearPC on a PC laptop and can operate OS X on Basilisk (OS 7.5.5) using VNC which has plenty of settings to play with.

I once ran Softwindows 95 on one Mac by Localtalk and Program Linking between two Mac's just for the hell of it, now that was slow.