option 1: Enroll at a(nother) gym
option 2: Get a bench, a barbell and enough weights to start with
(so u can either just work out at home or work out at home and work out the muscles u prefer to work at the gym in the one day at the gym)
option 3: Work out all muscles in that one day. Start with few sets and up them during the following weeks. Even though a lot of people say that your workout should be only 45 minutes because of shrinking testosterone levels, its most likely not as important as a lotta people tend to believe. You can definetly get great results from a work out which takes like 2 hours (Im pretty sure almost all bodybuilders work out at least for 2 hours..and Ive gotten great results with a routine of which 2 workouts a week took almost 2 hours also.). Another possibility might be to go to the gym in the morning (or early afternoon or something if u go to college/whatever) work out your lower body and go there again at night and work out your upper body.
You should definetly not alternate so u work out each muscle every second week. I think this would be a tad bit too long.