Same problem here sometimes with space. I will leave them open and stuff the bag in there somewhere.
Not only do I store baggies in there, I also have a Lock&Lock for smokes that I want to keep at a more stable RH. This ensures the humidity is a constant for a more stable ageing, while the wineador takes care of the temp.
I take a couple of sticks from each box I buy and store it in here to see how they hold up to a couple of years of rest.