I constructed an inset which narrows the hole for these circumstances. However, when I am willing to carry this drum to events it gives me the best of both worlds, albeit in a rather peculiar manner. Read some literature on acoustics, or loudspeaker design as I was interested in that. It will explain all this better than I can. The designs will show you the trumpet like channel that goes from behind the speaker to a hole in the cabinet.
Net result is a softer bass that still says boom instead of thunk.
And of course, any bass that is present in tones or slaps, will become amplified proportionally. The head is tuned very tight. It's a thin gauge goat skin. I think a larger head size is going to be a major factor.