Los Liberatadores is the easiest crossing. Unless you have very specific and up to date information leading you to believe that one of the other passes will be preferable (doubtful, but anything is possible), stay where you are and prepare to be chilly during a couple of hours riding. Choose your weather window and go for it.
I've been over Paso de Jama, Paso de San Francisco and Los Liberatadores. The first is far higher, far more remote, far longer, far less used, and several days north of you anyway. The second is....yes indeed, far higher, even more remote, even less used. It's also largely ripio. Neither of these have any fuel stops at all, although the Argentine border station on Paso San Francisco sells fuel in small quantities.
The others you mention are, AFAIK, more adventurous, even during the warm season. If you're nervous about Los Liberatadores, there's no reason to even consider them.
I will gladly bow out in favor of any contradictory information.