Thanks for the input. Putting it in a dish, even when using a baggie does make sense - wouldn't want to clean up any mess that could happen on a leak! I'm just pondering if it would be helpful to tenderize the meat (say, chicken) then put it in a baggie, put the marinade on it and let it soak. I actually could see the baggie way being helpful in keeping the liquid tightly against the meat - but especially for the ease in flipping it over. I do like that idea.
As it stands, I use a harder plastic container and have to remember to 'flip' whatever it is that I'm marinating....I usually forget about it - mostly because I have to fish out a fork or tongs to use and the whole baggie idea couldn't be any easier. I think I will try that and see what happens next time!
Truly appreciate the feedback - it was helpful!