hmm that could be difficult. If you live near a university I would suggest emailing or calling professors who about their research. Tell them you're trying to get into research and are going to apply to medical school. Ask for their suggestions. You can research them by looking up their lab webpage if they have one, or their dossier. Just ask everybody you can find and start reading some of their published literature.
Honestly, without any science background it may be hard to get into research. Usually you can find the full time jobs on University job listings.
If you have taken the pre-med pre-reqs then you should have a good basic understanding of the background science needed for research. At the very least you should be able to find somebody who is willing to take you under their wing as a volunteer.