Hi! I think it is great if you can manage all of that and still get that college experience. I was in a sorority (not during nursing school), but had many friends that were premed,nursing,vet, all very hard majors and they managed to do just fine. A sorority in my honest opinion is "you get out what you put into it". And that is the honest truth. I myself did a ton of stuff, always busy, volunteering, on multiple organizations and teams. I played intramurals and did the different fraternity weeks, and I will tell you that it was the best time of my life, and I miss it a lot. Most of the time, sororities have sign up's for different things, so its whomever is able to participate at that time.
Being in a sorority means a lot of different things to different people. Some say that I paid for my friends- but I say that I didn't pay enough if thats the case. Don't let anyone tell you all the stereotypical stuff about sororities- most don't realize that many of our leaders in this country were greek. Like I said, its what you put into it that counts.
Time management is key. Pick the activities that you are most interested in and do those. You don't always have to be at the "house" or going out to the fraternity parties. Just participate the most that you are able to and realize that you don't have to do everything b/c you do have a child at home and school to worry about. But I will say, some of those girls will become your lifetime friends, and you will have memories to last a lifetime, plus there are always alumni activities to participate in afterwards.
I say go for it!! Good Luck!