I assume you have built the model & gotten paint on the clear parts? if it's matt paint then the above trick with wooden sticks ( nice tip about the cuticle stick by the way) should work. It may help to soften the paint with a bit of white spirit applied by brush, if it's ordinary model paint. if it's gloss paint, then try masking off the area's you don't want stripping with tape and maybe even a smear of vaseline. Then very carefully, by brush, apply a little car brake fluid, only a bit, leave for a moment & try to wipe off the paint with a paper towel. The toothpick trick may work at this point too. I'm not sure if the fluid will affect the clear plastic, but if you're desperate, give it a try.
good luck!