good luck mate. When my wife left i think i had depression, the gym was my savour. And too right, dont worry about yoga being feminine. U say your a single parent, think of all the decent women that do yoga in lycra haha
Like the guys said above its going to be hard to have a programe that covers everything on the limited days u go but just give it a go. Remember though if u fuck your back again it will put you back months so just take it easy bud.
Let us all know what routine you choose and how you get on