As long as it's under your limit, or less than is in the account, you can use credit or debit just fine. You just have to make sure to call up the company first because most have per day limits (in case of theft, etc) that you have to get temporarily waved.
I know my debit only lets you spend $3k a day out of my checking account, but any time I've needed to spend more, I just let it get declined, call up the bank and say "Hey, lift my daily limit by $X,XXX dollars today" and they will and the next day it goes back to $3k. Once I tried that, and it still got declined. I had forgotten that I had bought KFC, so I needed to tell them to raise it to $X,XXX+price of KFC meal. Oops.