Bass will go through most anything that doesn't have a ton of mass to it. It's more a matter of how much upper mid/high frequency absorbtion you want the ceiling to also do.
You can remove the finish from the panels, put two together, cover with cloth
Remove the vinyl from half the tiles and cover them with fabric. Alternate these fabric covered tiles with the vinyle tiles(think checkerboard). This will give you not only added absorption due to the "edge effect", but a bit of cieling diffusion to boot. Be sure to spray the fabric tiles with a fire retardant though.
In fact, you could use 1/4" fabric covered ply for half the tiles, which would reflect even better than the vinyl covered fiberglass tiles(due to mass), which should provide a more pronounced "diffusion"....although my disclaimer is in full force here.

However, tests have confirmed, that using patches of absorption placed on a boundary in checkerboard fashion not only increase the absorption compared to the same amount of material used in one piece, it provides diffusion as well. The increased absorption is due to diffraction effects. Although, these tests were made with absorption panels placed against a boundary(floor), and the panel faces were not in the same plane as the boundary, it would appear that what I suggest is a similar situation. The difference is, the plywood tiles and absorption tiles are in the same plane. And the absorption "areas" actually become 2 feet thick. I can't prove it is the same situation, but it would appear so. Some people claim the additional absorption is due to more edge "area being exposed, and some people claim tests have proved this is false. If it IS false, then my hypothisis would be CORRECT. Maybe Ethan can chime in on this.

as HE is one of the opponents in this long winded argu....er...debate.
this works almost as well as panels made from 703 rigid for most high frequencies.
Most "rigid fiberglass" acoustical ceiling tiles ARE 703. Most are about 5/8" thick. See the pic below, as I used some of these tiles as a scaled representation of 4" thick 703 in a model.
Even used it to model a "Superchunk"
fitZ
