There are several lodges there in El Paso, with a couple of them right close to the base. I was out there (as a DA civilian) until some months ago, and got to visit a couple of the lodges. When I did visit the lodges there, it was during this time of the year, so unless they changed things for some reason (and I don't think they would have), they will still be having lodge.
However, depending where your son is going to be going out there he might or might not be able to go to lodge. Bliss is a big base with some HUGE "training areas" that they take reservists and guardsmen to to train. Some of the billeting and assignments are not even on the main post, but rather way out at those training areas. So, it will all depend on if he is going to be going to MaD BDE or one of the other units that trains soldiers for MOB, De-MOB, and annual training.
All in all, if he has the freedom to leave the main post then lodge should be going on out there.
http://elpasomasons.net/ is a really good site that incorporates all of the Masonic organizations out there and has an area that you can see the different lodges, where they are, and when they hold meetings. If he needs a ride, there are taxis there and he can probably even make contact with one of the lodges and tell them that he is in town for training and would like to visit. I'm sure that there would be a fellow Brother that is currently serving as well and can pick him up and take him to the lodge. I met several Brothers while I was working there on base, and even the Brothers that I had the pleasure of meeting that were in the higher headquarters were very helpful guys about the fraternity.
I wish him luck, and please thank him for his service for me. And thank you for being the parent of a patriot.
He's not coming down for AIT but for his annual training. Either 3 or 4 weeks, he's not sure yet. He said 8 hour shifts, 7 days a week. The logistics of a lodge visit are his problem, I just thought I'd ask the question for him. Thanks, Brothers.