From what you described it sounds like the off trail section of this ride does not sound technical. Just dirt and dusty desert trails. So if you train to do 50 - 60 miles and get your saddle time in and your conditioning for heat I think you will be fine. Now if the off trail is technical that's an entirely different thing. You will have a completely different ride and would need different training. You would have to get some training rides in on trails that are technical. I don't know what type of off trails your ride has, no real description. Like I said if it's just a smooth path through the desert I think you will be ok. Just watch out for cactus needles and check your seat height. I would also check to see exactly what kind of trails the off trail section is like. Is there anyone you may know that has done this ride? If so talk to them and ask them what the off trail section is like. Also, the organization that is sponsoring the ride, maybe they can offer some info or training.
I will say this. I ride both road and mountain and when I lead mountain bike rides and road riders show up for my rides (fit riders who have done centuries) they are ready to head back to their cars 8 miles into my mountain bike ride. It is a completely different kind of riding. Lots of upper body workout and standing on your pedals. Power climbs. Technical mountain biking is hard. But once conditioned it is easy and fun! Like road riding, training and time on your bike is key.
Good luck!