5"8', ~160 lbs, 19 year-old. Is GOMAD a bad idea for me (while fasting till 6pm)? Also, can I run 10k a day while doing SS?

Hey guys, I have about 40 days of summer during which I will be fasting till 6pm for 30 of them, and I wanna start going to the gym. Ideally, I wanna lose the "skinny fat" that I have and gain muscle mass at the same time, but I can't do both apparently. And GOMAD seems like a really bad idea for someone who's not REALLY skinny. Or does it have some merit if I use skim milk or something? Also, how do I make my diet/calorie intakes work with my fasting?

Also, I did Couch25k last summer and managed to run 5k in under 27 minutes until I stopped in winter. Now, can I get back in shape running-wise and try running 10k in under 50min while increasing muscle mass? It seems to be that I can't run and lift at the same time.

What are your guys' suggestions for me? I know I wanna do SS lifting-wise, I'm just not sure what to do diet and running-wise. Advice?