If you have no job & no family responsibilities, then take as many classes and you can handle! I just completed 4 courses in the summer (Anatomy, Psych, Healthy Lifestyles & Phlebotomy) and I'm taking 6 classes this semester (Physiology, Microbiology, Microbiology Lab, Pharmacology, Human Growth & Development and Intro to Health Careers). I've got a 4.0 so far. So by all means, if you can handle the course load, then go for it!
As far as pre-calc goes...unless you're planning to pursue an advanced degree later, why not just take algebra instead? It's a lot easier than pre-calc and you need all the "easy A's" you can get. Or, if you're planning on getting your BSN, take Statistics instead of pre-calc. That would not only fulfill your math requirement for your program, but also most BSN programs require Stats at some point. You can kill 2 birds with one stone
Best of luck to you