Professional cabinet restoration is the way to go in your situation. Experienced craftsmen can work wonders, and when finished it will look good as new! From an economic standpoint alone, it would be a profitable investment should you ever sell it.

Recap with orange drops and don't restuff. They are under the chassis and won't show even with the back off. Restoring a CT-100 to operating condition is enough of a challenge in itself, without making extra work for yourself that no one will see.

I agree with Steve McVoy that restuffing should be done on prewar sets because the technology is so old, they are extremely rare, and prices are headed toward the $15K mark on some models. I have done it on a few old radios where only a handful of caps were involved, but it still took a LOT of time. I have a 1947 RCA 721CTS console that needs recapping, and I'm not going to restuff the tubulars or the electrolytic cans. Everything on top of the chassis will still be original when I'm finished.

Re: Marilyn Monroe's personal TV, which has never been washed or cleaned to preserve its history (it's a dirty mess). What "history" has been preserved? Marylin would not have had it in her house in that condition. I think accurately preserving that set's history would mean restoring it cosmetically AND functionally to what it looked like the day Marilyn bought it.