My employer is transferring me to Austin, TX from my present location in Portland, OR sometime around June, 2015. I am planning to drive down with a friend (both of us in our mid-20s). Here's my plan:

1. I intend to drive my car (a Mazda 6). I understand that the trip I'm planning is around 2200 miles but if I'm driving my own car, I don't have to go through the hassle of shipping it and I can carry as many things as I can stuff in.

2. During my road trip, the 2 cities I definitely want to stop in are Salt Lake City, UT and Denver, CO.

3. I'm not much of a hiking or nature person (and neither is the friend with whom I'm travelling), but if possible, I'd definitely want to stop by Yellowstone National Park.

4. For my last stop before Austin, I'm torn between Albuquerque, NM and Oklahoma City, OK.

Taking into consideration that I don't want to drive for more than 8-10 hours per day, can I do all of this in 4-5 days? In mid-June, are there any roads I should avoid? I don't really have a budget for this trip and I'm looking to spend nights at budget hotels along the way. Also, this is the first time I'm going to be doing such a thing. I would welcome any suggestions or advice for my trip.