You could take a one day letterpress course at IPRC
and then they let you use their studio and gear. Or you might be able to find someone through the IPRC who would print cards for you.
I just joined the IPRC (again). Workshops sell out kind of in advance, and letterpress workshops happen ~2x a month. You'll need to purchase a membership (sliding scale, $55 & up) to enroll in the letterpress workshop, and (according to the website) you'll need to attend an open house intro workshop prior to that. Just things to keep in mind if you have a deadline but want to go this route...