A few notes, from experience:
First, great point. Yes, CC hacking works well in that way. I am doing something similar now.
Second, you just have to watch for missing an auto-payment or the like. It happens. I've had friends lose a lot on these sorts of setups that way. They accelerate the whole balance plus add fees and interest. But so long as you're aware of the risk and careful, you're good. (It was riskier before e-bills and e-pay.)
Third, and most important: offer cash first. I always offer cash for things like this if it's an option, and all the more so if the receipt is irrelevant. Dave Ramsey is right about that: cash is power. Especially for house repairs; the industry usually wants cash.
For example, I had one vendor offer me $5-600 off of a $1,200 bill once by paying cash up front. He literally began throwing in more free things to lock down that cash--he must have wanted it badly. Better than any return on any deal with a credit card--and the payoff was instant. He walked away thinking he had gotten a great deal, and I walked away knowing that I had.
Always test cash out: you can often get even better deals. If that fails, jump to the CC. My favorite phrase now is: "What discount do you offer for cash?"