Here's what you could get if you decide to go with seperate mics instead of a kit:
Samson Q-kick bass mic
Nady cm-88 condensors (for overheads and hi-hat)
The venerable SM57 (or equivelent) for everything else.
These are all very inexpensive microphones, but they will serve their purpose well.
Are you needing a mixer as well? And if you already have a mixer, how many inputs can you use? I'm sure you already know that condesor mics require phantom power.
I have made recordings using only the Samson and two Nady's, and it sounded good, albeit very acoustic jazzy-sounding. For more punchy stuff you should close mic your kit.