Won't the emulsion be all puffy and get scratched by this process?
Surprisingly, not much. I've seen lots of people doing that and getting decent results and the clip test I did was also good, no visible remjet on emulsion side, except on the site where two pieces got together during removal of the wet film. Pretty much the only option I see if you don't have a darkroom, you could just do a prebath, then immerse the film in a bucket of water and squeege the film as it comes out. Important thing here is not to let the back touch the emulsion or it will get permanently blackened.
Basically, remjet appears to be very fine dust after the binder is dissolved.