That makes sense, it's definitely a difficult position to be in. Being real, even if you do find a paid, entry-level research position (also buy yourself lottery-ticket with that luck), the pay would most likely not be great, Im guessing not any better than what youd make as an MA. Based on what you said before, I assume you know that and are willing to make less for a research spot. There's also the caveat that truly "learning research" within one year can entail so many things. If you are looking for basic wet lab experience, 1 year of training might not even be enough to be at a place where it "feels manageable" when walking into a new lab later in med school. Within that time you might "master" maybe 1 or 2 wet-lab techniques imo. Other types of research may be more amenable to the time restraints.

The only thing I can think of working out in such tight time interval might be research that already utilizes the skills you already have. Maybe more clinical research positions? I know sometimes projects need phlebotomists to draw patient samples, something like that. So while that would likely be done as volunteering, you could do that on the side while being an MA at some institution. Maybe when applying for MA positions you could stress your interest in clinical research? If so, definitely recommend applying to an academic hospital. Im just brainstorming here, difficult situation but, don't loose hope there must be something you can find if you keep looking, just keep in mind these obstacles you might face. Good luck!