You're almost certainly not exposing quite long enough. Exposure time for you is likely different than exposure time for me (depending upon emulsions and exposure lamp efficiency)...but I can tell you with confidence that it's not an EXACT science. With my setup, at least, I have good 5 minute window within which my screens expose just fine.
So...if I were you, I'd bump exposure time up a few minutes and see what kind of result you get. The working side of the screen is usually a bit tackier after washout...but you certainly shouldn't be seeing much (if any) emulsion wiping away if you were to take a paper towel to it.
Before you know it, you'll have the screen burning process perfected. As with anything, it just takes a bit of trial and error.
So...if I were you, I'd bump exposure time up a few minutes and see what kind of result you get. The working side of the screen is usually a bit tackier after washout...but you certainly shouldn't be seeing much (if any) emulsion wiping away if you were to take a paper towel to it.
Before you know it, you'll have the screen burning process perfected. As with anything, it just takes a bit of trial and error.