You'll encounter some awesome scenery --- some beautiful wide open empty spaces where you can see for hundreds of miles.
Wow sounds like a great trip. I grew up on the East Coast (CT) but like you, love to travel all throughout the US. I think I have missed only 3 states so far (NoDak, Alaska and Hawaii) and I'm in my early 30s. :) I know people twice my age who have never left California, except to go to France or Italy. Yes, they are libbies (are you surprised?)
To be honest there is not much to see in Hatch, but the chiles from that area are great--I've not been to the Chile Festival so it might be pretty neat. On the way to Denver from Santa Fe I suggest you stop off at Pecos National Monument if you have time. It is right off I-25. I worked there for 3 years and it has a great visitor's center and quick ruins trail. Also the site of an important Civil War battle--the battle for Glorieta Pass.