We do this a lot. If it is wrapped in paper, you can toss it into a zip bag before thawing it.
Big stuff thaws just fine also, just takes a bit longer. As long as it thaws within an hour or so, it is perfectly safe - there is only ever a thin layer of meat that is at room temp, and not for very long.
We used to come home from somewhere, grab some frozen fish, chicken, or beef, toss it into a 1 gallon container full of hot water, and then dash off to change clothes. By the time we changed (5-10 minutes), the meat was thawed and ready to cook.
We found that if we used a small container of hot water, that the water cooled quickly, before it had time to cook the meat, so that by the time it was thawed, the meat was still cool, and so was the water.
I think it is kinda dumb that someone thought it worthwhile to spend an exhorbitant amount of money on three separate studies, just so that the government can tell us that we can safely do what we've been safely doing for decades.