Some threads to get you started
BTV and "hands free frentzel" have been discussed very recently in these threads:
[ame=http://forums.deeperblue.net/showthread.php?t=56802]thread1[/ame]
[ame=http://forums.deeperblue.net/showthread.php?t=56331]thread2[/ame]
There are some older threads too, the search function should get you there...
The bottom line is, that it is possible, but there's a chance that your nose will be healed quicker that you can "master" the technique
But the efforts will not be futile even if that should happen. Learing to control the eustachian tubes voluntarily even to some degree will make "normal" equalizing much smoother and require less pressure (more gentle nose pinch or in the ultimate case no pinching required).
I can do the sort of "yawn/swallow" motion type of equalizing hands free. With scuba it's quite easy, while freediving it takes a bit more effort. But if you can already sort of do it and want a quick "fix" for your problem, I suggest you try to do that while turning to horizontal position or even descenting "feet first". It's much easier that way (BTV in fully inverted position is quite hard for most to learn, even if possible). For example I can do this in dynamic quite easily, but not on a constant weight dive. It might make dives slower and shallower (having to somersault etc while you dive), but at least that would get you in the water again...
Like someone suggested, it might be possible to equalize by putting "plugs" to your noses, like ear plugs or something. If I remeber right in Terry Maas' book he describes something like having a custom made mask (from a face mold, no less) that has "plugs" in the nose. As the pressure increases and pushes the nostrils against them, it makes it possible for him to equalize against them and as the pressure is relieved, the mask stops "squeezing" his nose.