Sorry, but no that is not doable in 12-13 hours - not even close. In a car, it would be closer to 14 hours, factoring in real world conditions and even the minimum stops. In an RV, 16 hours is a distinct possibility.
Anyway you look at it, it is a dangerous distance. No matter how many drivers you have, you should not be trying to drive nearly 800 miles in a day. Even if you do it safely, you will be in no condition at all to drive all day again the next day to Santa Fe.
As both Donna and I posted earlier, considering your choice of transportation, you need to plan for 2 overnights. In an RV, 500 miles really is a very full day on the road, and you shouldn't try to push things much farther than that.