I know I’m late in replying to this but I had the same problem with
the added difficulty of a lack of funds. What I did was buy one of
those large rolls of vinyl flooring from my local home center, laid
it out over the carpet, cut it to size, taped the edges slightly up
the wall and voila, carpet problem gone. I’ve dropped hot metal on it
and while it does leave a burn mark, I’ve yet to have it burn
through. It’s a bit bouncy but the chair still moves along rather
more smoothly than the carpet alone.
I’ve also dropped crystals, gems, etc. and they bounce, but just a
little. It’s rather easy to find them. I chose a vinyl with as little
pattern as possible so it’s easier to find things. Best thing is wire
doesn’t get caught in the carpet anymore and it’s easy to vacuum the
area that isn’t covered. Yes, I save the vacuum bags but will wonder
how many cats the refiners will get out of it when I’m ready to send
it to them in a year or two. LOL My cats own my studio.