I found a semi-clean method, I spent a while with some very fine diamonds to fix one of my tweezers under magnification. It took a while but I got it strait and pointy. It seems that I can get it hooked on the gel to lift it a little.
Then the trick is to get alumina tweezers, and use them to grab the clear protective layer. It seems to be the only tweezers that grips it. I made sure they close good.
From this point I can get enough grip on it with a gloved hand after lifting it a little bit to pull it apart.
I noticed that with this film, the tape bearly grabs it. I dunno if the dry film solder resist film has a different protector that is more slippery or something, it seems more substantial then the blue etch film's protector.
With this method I only mess up maybe 1/2 a square CM of material. Just the problem is, you are supposed to do this in a dark room... I find it hard to work on it with my LED color light. I need like a red or yellow LED spot light for doing this operation. The lights I have are OK for like assembling it once you can handle it with your hands, but it sucks for working with tweezers.