Mike,
"tonneau cover for my 64 longbed c10" is what I entered in my search engines (tried both "duckduckgo" and "google").
I did see the following under "duckduckgo" search that specifies it is a "roll up style" (click on the "Download Installation Guide" link to see detailed installation instructions which includes a picture of the cover in the rolled up position):
https://truck-hero.com/extang-black-max-truck-bed-cover/1964/chevrolet/c10-pickupShould be noted that this website appears to be a supplier to resellers, no customer direct ordering that I could see.
Further searching resulted in (drum roll please):
https://www.ffcustoms.com/p-57769-extang-blackmax-tonneau-cover.aspxSays this product will specifically fit your 64 8' bed.
This is a Canadian company located in Ontario which site says ships FREE also to USA. The product listed is the same "roll-up" cover unit in the "truck-hero" site above. Price, at less than $400 Canadian seems to be very reasonable.
Hope this is of some help in your search.
If you don't mind and happen to use this vendor, please post about your experience and the product as it could be helpful to others in our community.
Good luck and let me know if I can be of any more help.
