There's no problem trying whatever you think might work. I'd maybe rent or borrow
something before you put your cash down.
You might find that you need to play
around with it a bit to get a good phase relationship. If your overhead is really close to
kick and snare then you may end up having to make your close mics the same distance away.
Amps in the room are always a bit of an issue. Even if you get the mics
pointing nicely away from them they can make the kit rattle, esp the snare wires. But it
depends how loud they are and what the key is etc.
Give it a go.