The Good Sam membership will save you 10% at many campgrounds. Usually, it saves the tax and not much else. But hey, that's something. ABQ has a Camping World so you'll save a little bit there with that same membership.
In general, many of us are not fans of Camping World/Good Sam BUT I'll bet that like me most of the detractors still carry a membership.
Lots of great camping in NM. We leave on Tuesday for a month long trip and we'll spend a week in ABQ and another in Santa Fe. with weeks in Arizona and Colorado in between those two spots.
We've stayed in lots of other places in NW but we always stop in ABQ on our way west and Santa Fe on our way back home. ABQ to visit with good friends and SF for the great food.
A Senior Pass (used to be called the Golden Age Passport) is always a good thing to have. You buy it once and it's good for life. There are not a great deal of places to use it in NM, but it will save you 50% of camping in National Forest campgrounds and free entrance to National Parks and Monuments. Really handy in Colorado and Utah. But best to get one now before they raise the price again. When I got mine it was $70 and now it's $80 + a $10 "handling fee." You get them at any National Park. I'd guess the three National Monuments in NM would sell them, too.
You can order them online and through the mail: