I hope i'm not the last one to think of this and the following tips will be new for at least one person.
I'll keep this short..
I have been doing this in the back country for a few months now with durations up to 3 days at a home with great results.
I have been using an RGP case like this one.
http://www.google.com/imgres?q=RGP+cont ... x=91&ty=63
The reason for this that the part of the lens i end up touching is on the exterior of the lens, the part that does not end up touching my eye. my experience is that with the traditional lens cases you (or at least i do) end up touching part of the edge that goes against your eye and with dirty hands in the back country that can be a pain in the ass!
As far as hand cleaning goes... using this case means i only have to clean my index finger and my thumb.
For lens cleaning... I have just been lightly shaking the container for a minute or two to wash the solution over the lens to remove all the nasty stuff. This has been working great!