The only issue I have is most of them require the destruction of the book by removing the pages. Many of mine are very rare and collectible now costing hundreds of dollars so it would be a crime to damage them.

Do you know of services that can do this without damage?

I unfortunately don't know of any services that do this non destructively. However, there are scanner designs that Archive.org use to scan rare books. I'll try to find references but I think they'll require construction - afaik, no one sells such a scanner ready to purchase.

Edit: Ask and ye shall receive: https://www.amazon.com/Fujitsu-ScanSnap-SV600-Overhead-Scann... - had no idea this existed. Very tempting - Fujitsu makes solid scanners .