So, after having guests over for Mother's Day and having to empty the closet to get to the things we needed, we finally decided to stop messing around and settled on a ridiculously simple solution to keep the floor free of unnecessary objects: two screw hooks screwed into one of the bottom particleboard shelves and two large laminated bags from a local fabric/craft shop. The total cost was about five dollars, and it took a matter of minutes to finish.
Ta daa! Extra storage space that doesn't interfere with the folding table below. Not the most artistic solution, but it works for the lighter-weight items such as spare blankets.
Have a great day!