All the VA's in my area require a finished residency before they will hire you...
Also, all the doc in the boxes I checked with while in residency did not want to hire residents to moonlight...medicine fellows (i.e. with a completed residency) they would. The reason they gave was the ability to be credentialed by most or all of the insurance companies they accept does not exist if you haven't finished residency.
I'm sure there is SOME job out there that would take you, but my question is whether you really want to do this to yourself in terms of limiting yourself so much clinically. If you leave residency you might not be able to get another one, and if the job you find doesn't work out, and/or things change in the future (i.e. you get an evil boss, etc.) you might be up a creek. I'm thinking you have done at least 1.5 years of residency...if so, it doesn't make a lot of sense to me to bail out now...especially if you are in a 3 year residency. Surely you can stick it out for another 1.5 years. If not, I still think it would be better to switch residencies, maybe to a different field, if you can't stand yours.
If you want to get out of clinical medicine totally, then trying to find a doc in the box, or a hospital moonlighting job, etc. that would hire you (i.e. probably for lower pay, etc.) at least part time so that you can survive would be a good idea. There are definitely moonlighting jobs around that you can get with only part of a residency - group homes for the disabled, maybe hospice or nursing homes, whatever is available at your teaching hospital (taking overflow medicine admits, etc.). If you want to get one, it would probably be best to get a regular gig set up before you quit your residency, because usually they ask for references...