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I've got to say that if you're driving as far as Denver, you might as well finish the drive. Shipping would be very expensive, you've already made 2/3 of the drive at that point. From Denver, you could easily finish the drive in 2 long days. You probably could ship it, but I wouldn't think it would be worth your time or money.
200-300 miles is a very easy day on the road, and if that's all you're doing, then doing this trip in a week would be a little tough. Its about 2000 miles just to Denver, so you'd have to be on the top end of that to make it possible.
The bigger thing is that we typically suggest that 500-600 miles is a full day on the road, which works out to 8-10 hours. Of course, you have to figure out what works for you, but that an idea of what you might be able to do. At 500 miles, you've got time to at least see a few things, but it is still mostly a driving day.
For baseball, I just look at mlb.com and/or the team sites to compare home games with my travel dates.