I don't know about gift cards but, I am sure it would not be an issue. We paid the deposit and the balance via credit card for our VGF purchase and racked up enough airline miles with bonuses for more than a couple of free flights. Paid the bill at the end of the month, no finance charges.
This will only work buying direct. Resale, depending on the Title Co., has small CC limits. Our experience with Fidelity (First American Title) was a $2k limit, $1k deposit and an additional $1k before closing. At ********** (Timeshare Title & More) limited to $1k on a CC subject to a $60 fee. We didn't use a CC with **********. I am not sure about TSS (Magic Vacation Title) as we haven't dealt with them yet.
Hope this helps.