While I have heard of FIRST Robotics and the competitions and seen designs online, I have never participated myself.
My above comment was a best guess at how I would support the otherside, however I do not believe I was very clear in describing it.
I would attach the 8mm hub to the CIM shaft, this hub would attach to the wheel previously shown. After the hub I would attach a coupler to what is remaining of the CIM shaft, allowing an additional 8mm shaft to go through the middle of the wheel to a bearing that is mounted to the frame. Maybe something like this?
http://ecx.images-amazon.com/images/I/61XV11AUcTL.SL1100.jpg
Or would I be better off getting another hub and put on the other side of the wheel, which then connects the additional shaft (though not connected to the CIM shaft) to the bearing/mounting block?
Thanks for all your help, this stuff is just a little over my head. I plan to continue to do research.
Edit:
GeeTwo, thank you for a technical break down… I kind of figured the CIM’s were a tad overkill, but it was what the referenced project used with good results so I went with them. However, it is important to note that his wheels were milled from solid MDF and were pretty heavy.
Ari, I do plan on fabricated the frame myself. At my dad’s work he has access to steel tubing and plate stock, figure it wouldn’t be a problem for him and I to go there and throw something together. I’ve been looking for an excuse to learn to weld anyways. 
Jman, your suggestion was what I was considering and trying to spit out. At the beginning of this post and also the prior.
I am going to continue look into possible wheels, however I’m slightly under a budget so the the possibility of lawnmower or custom plywood was taking that into consideration. However, I am still up for suggestions regarding them.
Thanks!
Logan