Quote James Perrett:
By all means mic everything but keep it simple. I'd go for one overhead on the drums and just a kick mic. A good drummer and kit should sound good with a simple set up like that. If the drums don't sound good then work out why and fix the problem as otherwise you will only end up fixing the problem in the studio.
That should give you enough spare channels on the Multimix to mic everything else individually through the Multimix. Hopefully the Multimix has an aux that you can use to set up a PA mix.
The other thing that I would add is that you should make sure that the studio you are using can work the way you want to work. A good studio should be flexible but there are plenty of small studios owned and run by less experienced people who assume that everyone works in their particular way and who can't seem to work any other way.
^ This. We've just recorded a 7 track demo in about 3 hours, in our usual rehearsal space. 1 overhead, 1 kick mic, one vocal mic (doubling up as PA mic), mic mic on guitar and bass amp each. All this in a 5x5m room and the sound quality is excellent (for what it is!).
Now we can really HEAR all the problems and go and work on them...