I've got the same compulsion. End up at your destination and you say "Yes! It's done!" and then realize that you didn't see much of the land. I am going coast to coast in May/June and back and I think you just need to find things along your route and set those as stops and then make sure you go out of your way to hit them. Is your wing a 2018+ or older model? Tripplanner.honda.com is a very handy site for planning routes, it finds things very effectively, almost google like and exports to GPX format so just about any GPS should work.
If you have time you can visit Angelfire, NM in the hills outside of Taos. First major Vietnam memorial. Dedicated May 22, 1971
Memorial History – Vietnam Veterans Memorial
A very peaceful place but it can get cold, even in late May. Snowed on us in 2019 on the run for the wall.
Basically, pick places like this, get a GPS and plug them in. Let the GPS force you to take a preplanned trip you normally would have just blown by. You can set yourself a rule that you can ADD stops but not remove them from your trip to make sure you hit what you planned but can add stops as well.
As to WHAT to visit, I usually add things to my list based on watching youtube channels. "Shadetree surgeon", "Maikeli7", "Adam Sandoval", etc.
This is a good strategy but I'm not sure how you'll cover the ground you need to cover in the time allotted, riding only 6-7 hours with stops at attractions. I always figure that no matter what road I'm taking or how fast we're travelling (within reason), I expect no better than 50 miles per hour of riding. This is partly because gas stops and bathroom stops, etc. really eat away your day, more than you'd think.
I'm in PA and have been through all the surrounding states numerous times and though they all have their charm and places to see, I'm in love with big mountains and so always gravitate West. With that in mind and given that I've been taking long cycle trips since 1982, there's just not that much of interest until I get a few days away from here so I try to put on as many miles on days 1, 2 and sometimes 3, typically at least 650 not usually more than 800 to get through the more familiar territory and also away from the mass of people between here and Chicago!
I study info about the areas that I'll be riding through and those I want to stop for a day or more, pick stuff I want to do or see and just plan it out that way. Like you, I prefer the 2 lanes, ESPECIALLY when I'm in places I really love. There are beautiful sections of both I 70 and I 90 in CO and MT respectively but if I'm not near those sections, I'll be on a 2 lane, for sure. This year's ride we will be taking US 2 from the U.P. of MI all the way to Glacier and then on to Libby. It is mostly a 2 lane road.
For me, it's worth riding a couple really long days in order to have more time to explore places like Glacier NP, Yellowstone NP or Grand Teton NP. This summer we'll be spending two nights in East Glacier and will only be riding to Libby, MT, about a 5 hour leisurely ride where we'll spend the next 4 nights and 3 days visiting a friend and doing some cool side trips from our base there.
Anyway, that's how I mix getting there with seeing stuff. If there's stuff along the way to NM that you'd like to see more of, plan a future trip to go to some or all of those places. Enjoy yourself, regardless!
Not to get too long-winded here but years ago I camped on cycle trips. As I got older I decided that a real bed, a good hot shower and air conditioned sleeping quarters were more important than saving money plus my back bothered me more after riding all day and sleeping on the ground, guess I'm getting soft!!! Anyway, now I make reservations and don't find that it hurts the experience. Barring any unforeseen, more serious issues, I can guess pretty closely by now how long a ride will take and I don't mind if I have to ride a few extra hours to get to where I'm going versus where I "felt like" stopping. If it's that cool of a place, I'll try to remember it for next time. That being said, some guys don't want to consider a 14 hour day on their bike but, we have Goldwings so, we don't mind!! ;-) Making reservations is a must at some places too, like close to Glacier, Yellowstone, Tetons, Yosemite, etc., even sometimes for campsites, from what I've heard.