I found the glass under the headliner on my 272 has the "combed" effect created when one runs the toothed floor glue speader through the glue, so you are probably stuck with that.
My wife and just removed the headliner / hull blanket from our 272. Luckily, there were no terrible leaks that fouled the bulkheads, so we just needed to:
1. Remove all the nuts and washers (making this a good time to rebed the deck hardware!)
2. Pull the trim off everything.
3. Remove the cabinets from the head
4. Pull off the headliner / hull blanket: this is hard work! Maybe see if you could find a solvent to soften the glue? Wear gloves, as pulling the carpeting will make your hands raw after a while. You will need some single edge razors, as the carpet seems to be applied to the entire cabin ceiling, right to the edge, before it is laid on the hull! Thus, the carpet is glued into the hull seam! Ugh! Also, pulling it will create a lot of dust. Something I considered but didn't try: get under a corner of the carpet, and shear the carpet away from the fiberglass with my Dremel Multimax tool. Could work!
5. Sand the glue and carpet remnants til smooth(er). You will NOT get all the glue off. Wear a mask, and connect your sander to a vacuum.
6. Clean the cabin ceiling and hull walls with a glue solvent (3m).
7. Buy a new carpet from Great Lakes Skipper or some other dealer. We bought an Off White, 1/4" foam backed, marine treated vinyl. Not cheap, but I doubt I will outlive it!
8. Buy a 3m spray adhesive. We bought Super 77 spray adhesive.
We are about to apply the vinyl this coming weekend. We will post pictures!
Thanks,
Andrew