i was able to replace the screen, eventually. I used a spare part bought on Amazon (which came w/o any instruction) and the reassembling was quite challenging. I'm pretty sure that I improvised here and there, but the result paid back.

I can confirm that the most difficult part is removing the screen. Mine was broken in a thousend shards, and although the tape trick helped keeping the pieces together, the suckers could not adhere properly on the tape. Using a dozen picks (more! luckily, I play guitar and bass, so I'm never short of picks) and an air drier, after 1 hour i could remove the broken screen.