Well, you can use the BS on VIX, but you shouldn't, because it won't fit worth a damn.
The models I linked to a far beyond Black-Scholes, and are specifically designed for the VIX for the most part.
There are futures pricing models, as well as options pricing models, so yes they are different securities that do converge yes.
Actually, it can, but its quite detailed and technical, at least sign of the short end of the VIX futures term structure can be predicted. and the VIX itself does have some level of inherent predictability but since its not directly tradeable its harder to capture.
I don't usually have many trades open at once, usually a handful of short strangles with DOTM hedges to protect against large moves. The last big move in VIX had me temporarily down 10% but it quickly came back because i left plenty of excess liquidity so I didn't get a margin call. I should have held off and sold the combo a few days later and pocked that extra 10k premium. So now my next task is to work on software that will watch for a good oppurtunity and enter the position for me, if I tell it i want to sell a combo sometime in the next few days..
Good ideas that I'm already doing. I'm looking for series that have a good mean reversion tendency to them and plenty of liquidity so I can use the stochastic models