Kristal Audio Engine is also a free recording program. This is my personal preference as far as freebies go. It has 16 tracks and it will let you record all 16 at the same time if you have enough inputs on your soundcard.
Normally I prefer PC soundcards/software over standalone recorder boxes unless you need portability, then it's the best option unless you want to lug your PC around (or you have a laptop that you can load your recording software on). In your case, it sounds like you're going to need portability in order to be able to take your recording gear over to your drummer's house to lay down the drum tracks. A portable recording unit would be a good choice. A couple other options are if you have a laptop you can use for this purpose or if your drummer has a PC that can be used for recording, either one of these would be good options.
-tkr