While it's a somewhat dated source by this point, I'm certain that Neil McDonald's 1995 book Winning with the Kalashnikov covers this 6.Bg5
variation to some extent, and I'm nearly certain that he recommends taking it head on with
[fen ""]
1.e4 c5 2.Nf3 Nc6 3.d4 cxd4 4.Nxd4 e5 5.Nb5 d6 6.Bg5 Qxg5 7.Nc7+ Kd8 8.Nxa8
I don't recall how much concrete analysis followed (it's been many years since I owned/saw the book). Moreover, I don't know if there's more or less coverage than what you mention from Silman's book; even though I've played the Kalashnikov with considerable frequency since the days of McDonald's book, for my purposes I've never needed to consult a newer source.
To that point, I'll say that my experience has differed from yours, in that I almost never face this 6.Bg5
line, despite plenty of personal Kalashnikov tournament games and countless blitz games, and indeed I've never faced it in tournament play. I think one reason for that might be that Black can sidestep any messiness if she so chooses, so that it's not that testing a try from White. In particular, my own (potentially flawed) sense is that Black could even comfortably go for the following:
[fen ""]
1.e4 c5 2.Nf3 Nc6 3.d4 cxd4 4.Nxd4 e5 5.Nb5 d6 6.Bg5 Be7!? {This might look strange, as White can now force the black king to lose castling rights, but this comes along with an exchange of the dark-squared bishops that Black generally welcomes in this opening, and all things considered I think the black king can live comfortably.} 7.Bxe7 Kxe7 {This wouldn't be every black player's cup of tea, but if I'm right that this position is alright for Black, then the fact that this simple defusing of White's play is available would be a reason for 6.Bg5 to be infrequently played.} (7...Ngxe7? 8.Nxd6+)