I'd go for doing one or the other well depending on the type of music. There are a lot of places to put a single mic that get a good picture of the whole kit - behind and slightly the drummer's head (inside the drummer's heard works well, but is not practical on all drummers) in front of the set about cymbal level is good in the studio, but might be a pain on your small stage. You could fiddle with position on these and shade toward the hat and see how you liked the balance. This is what I'd do for R&B, country, jazz, etc.

On the other hand, if your real goal is smack-in-the-chest bass drum, you might forget all that and just mic the kick as you would for a multiple mic setup. I'd go this way for any heavy rock style.

Actually, the combination of the two of these - one kick mic and one overhead shaded toward the snare and hat - is really a fine way to mic a drum set in anything less than the best conditions (i.e. long sound check, top quality PA, different people mixing monitors and FOH) Very simple to set up and mix. The right information to put in the monitors so that people can keep time.

Good luck.

I'd use the AT overhead for the hat. Adjust the position to help with the snare and cymbals as well.
The ECM8000 will manage the kick, but as an omni you'll need to be careful with placement to prevent feedback. beater-side might do well.

Thanks a lot for your tips and good words. In the meantime, I managed to get hold of two more mono inputs (my Saffire LE used as a "sub-mixer", alongside the main mixer), so I'll be able to use both of the mics on the drum kit. Let's hope it all goes according to plan.

Regards,
Mihai Toma