Tough problem, you could use the earth boxes and they can be made from the plastic tote tubs.
Since you are renting, maybe via the Free Cycle groups, you could get enough chicken wire or even window screen to make a cage of sorts for the tubs, maybe as simple as 4 posts in the corners and twistems to hold the wire closed.
Your rabbit is giving you the best fertilizer there is, he deserves to eat well.
Vickie, do you remember the do it yourself earth boxes for gardens and did you see post 379, it is almost your situation.
Yes, let me get my laptop out and find the post for the earth boxes that is in the old thread. I’ll post it shortly.
There is a link in post 3721 and 1838 of the old thread:
http://www.freerepublic.com/focus/f-chat/1990507/posts?q=1&;page=3721#3721
http://www.freerepublic.com/focus/f-chat/1990507/posts?q=1&;page=1838#1838
Also a whole bunch of links for container gardening here:
http://www.freerepublic.com/focus/f-chat/1990507/posts?q=1&;page=2501#2501
On the last one Granny advised you pack a lunch first, there are so many links. LOL.
Instructions for building earth boxes here:
http://www.instructables.com/id/Building-your-own-Earth-Box/
Nice pictures to help you along, too.