Not knowing the cost of the cover you have, I would say generally speaking a married copy should be worth a bit more than a coverless copy.
That is how it's supposed to work, but there are examples of married copies are in blue labels, especially golden age books.
The big question here I would think is, are you certain that the cover you have has no restoration?
Probably the best approach is to have a highly regarded presser do the marrying and check the cover for resto, and then submit it to CGC. Depending on the alignment of the stars the day it is graded you might even get a blue label.
I'll let the golden age experts elaborate on the chances of that.