im certainly no expert on the triggering aspect, but i can see where burying the head could easily cause this problem.
On a side note, if you bury the head on acoustic drums it also causes a pretty noticeable change in the sound so all in all it might be best to work on technique a bit more and solve both problems. This will help you reduce the double triggers, and if you're playing an acoustic set you can avoid the odd sounding thud from a beater that's hitting a deadened head from the other beater being pressed in against it (sometimes its virtually not noticeable depending on your dampening, but on my acoustic set it stands out pretty well when i bury the beater)
i suppose if this doesn't help you could try and maybe loosen the head a little to reduce some of the bounce or install a variable resistance to dial down some sensitivity, but i would personally worry more about the double bass technique