I don't have an Epson, and do my printing on the HPZ3100. It goes through one or more routines several times a day (and overnight) to monitor and maintain the heads and lines, and I have not yet come across any problems with clogging, etc, either from other Z3100 users or personally. However, on an older Epson dinosaur (1200) if I didn't print at least an 8x10 in a week, I risked having one or more nozzles plug up, requiring a head cleaning.
I would assume that one low res print a week would be good insurance.