I use a road bike and it works for me and I ride between 80-120 miles a day. I also travel really light (15 lbs) and stay in hotels and eat in restaurants. It's expensive, I average $120 a day, I'm sure it can be done for less but not a lot less so you need to figure out your budget.
Boulder is a nice town and a cycling mecca but there's very little special about riding through there. Also a lot of the local canyon roads that are very cool to ride were heavily damaged in last September's flooding.
With the milage you're talking about (let's say 500-600/wk) in 1 month that 2200 miles/ 2 months is 4400. That's a big difference in what you can see. The coolest stuff I've seen is in southern Utah, next comes Montana. If your ride is two months you can do a loop where you head south and west and hit southern utah in the early summer (Arches, Canyonlands, Bryce , & Zion) then head north up into Wyoming, see the Tetons, Yellowstone, go into Montana and head up to Glacier, go over the most beautiful cycling rd in the country (going to the sun rd) and then head home. That would be your 2 month ride and it would be some cool trip.
If your asking if the ACA maps are worth it, IMO, absolutely. For $15± they route you for 400± miles on the best available roads for riding and show hotels ,camping spots, restaurants and grocery stores along the way. For some people, charting there own course is part of the adventure but I think the maps are great. That said, the route I described can only be done about 75% w/ ACA maps.
As for Mom, what's to say. Your going to be in no more danger being on the road on a bike 2000 miles from home than you already are when you're 20 miles from home. And the one lesson that everyone I know, or have heard of, who has spent a lot of time on the road takes away from the experience is that it has restored their faith in humanity.
Good luck w/ your plans.