Great choice for your intended use.
On one of my bicycling trips in CO we rented a Jeep in Silverton and were given a map with the mining road/trails from Silverton to the east & north. What a great day.
We drove up one trail that was wall-to-wall boulders from 1-4 feet in size and did so in low-range, 1st gear. We took a break for lunch at the top (a large cooler with plenty of liquids (read beer) and sandwich material is useful). We heard another vehicle coming up the same trail behind us and it was making a huge amount of noise. When it arrived it was a diesel powered Ford F-350, 4-door, dually with a camper in the bed, a wife and 5 kids. They were having every bit as much fun as we were.
Enjoy. Am guessing it will be a hoot around where you live.