You don't "record" the drum track until the final mix-down.
I usually lay down a rhythm guitar track first to a straight drum beat, then use the measure count to program the drum track. Record a bass or 2nd guitar track to the programmed drum track, see if any tweaking of the drum track is needed - you may want to 'throw out' the original rhythm guitar track at this point. (Note I use guitar because that is my main instrument, use whatever you use for a main instrument!)
Then you can layer on your other instruments and vocals.
When you get to the point where you have filled all 4 mono and both stereo tracks, do a mix-down WITH the rhythm track (drums). After doing that, you can do any further tracks (backup vocals, more instruments, etc) on other Virtual tracks (keeping your original instrument tracks in case you decide to remix).
The sound recorded with the SM57 and the Boss 600 is excellent, although double mics would be nice (if I could afford another) for recording acoustic guitar.
You can create your own f/x patches on the Boss machines, so you are not limited to the pre-sets for mic, guitar or line inputs.