I was disccussing about this with a guy yesterday in Rome, he said to me that in italy he used a white tape with not so much glue, that were perfect to apply/remove.
I know it's a mess but you must make simply trials and find your tape.
But are you using the tape to save the screen or use it to close some parts of the screen? In this case exists a kinf od ink called Screenfiller, generally cloured in red, for plastic inks and rispectively for water based inks. You apply it and you remove it with the water(the one for plastic inks), the other i imagine with a solvent.
This is usefull also to close those little "open" holes onto the screen after exposed (generally the shade of the dust or something similiar).
Never listened the water tip! Good to know.
When working with WB inks we use brown paper packing tape. The kind that the adhesive is activated with water (but not with the string reinforcements). This tape is especially good for taping out stuff on the underside of your screen. Because it is activated with water it never falls of because the moisture from the WB inks is constantly keeping it moist.
When cleaning off the tape, spray it so that the tape goes deep brown and soggy then it and the glue just melts off your screen.