Not sure what you mean there, back of what? Your back or the back of a cart?
The carry/stand bags are a nuisance to put on a push cart. They just don match up well. So I'd suggest a cart bag over a carry bag if you want a push cart. I have a Sun Mountain C-130 cart bag which has LOTS of room in it, but it's
big. Must have named it after the airplane. There are a few push carts here:
Golf players need a golf push cart to get around the golf course. We researched the best golf push carts for pushing through grass, hills, and everything in between.
www.tripsavvy.com
The three wheel Clicgear is very nice. Not cheap but durable and easy to push, also easy to fold up. The 4 wheel Caddytec is also a good model for the same reasons. One caveat with the three wheeler: make sure the front wheel can be easily adjusted. If it goes wonky, it can be a bear to push around. Also, the wider wheels of today are much easier to push than the older skinny wheels like I have on my 15 year old Bag Boy.
Hope that helps.