If you are riding 4419 miles in 51 days you are averaging 87 miles per day. Every single day, 87 miles. Assuming this is a loaded touring bike carrying full gear. Lets pretend you are doing about 15 mph. For many in this group, I suspect riding at 15 mph average is well beyond their abilities. But lets pretend he is able to ride at 15 mph average every single day for 87 miles every single day. That is 6 hours of riding time per day. (If he is averaging 10 mph then he is spending 9 hours of riding time every day. Adjust the following times given by adding 3.) Add in 1 to 2 hours for eating stops along the way. Figure it will take 8 hours every single day to ride 87 miles. Leave at 8 AM every day. Finish at 4 PM every day. Of course some days will be shorter or longer. So lets say he finishes every day between 3 and 5 PM. Find and setup camp or find a motel. 1 hour. Its now 5 PM. Eat. 1 hour. Now 6 PM. Go touring in the town from 6 to 7 PM in the dusk, dark. Go to bed at 8 PM and get up at 6 AM next day. Check out or break camp. Eat breakfast. Leave for the ride at 8 AM. Looking at the town for one hour at dark does not sound like much touring. Just riding. Where are you meeting people or even talking to people? Where are you experiencing anything except riding the bike?
Here is an alternate way the day might go:
Get up at 5:30 or 6 am and roll out by 6:30 at the latest unless camping with others and wanting to hang out.
Ride 10-15 miles and stop for a diner breakfast or just coffee if you want. Sit at the communal table with the locals.
Ride for a couple more hours and either shop for a cold lunch or hit a diner. Shop for dinner stuff while you are there unless you know you can shop later. Chat with the folks at the store or diner. Since it will be obvious you are touring, folks will likely be interested in what you are doing.
Ride some more. Chat up locals when you stop to fill water bottles or whatever. Take a hour long break whenever you feel like it. Note that on the TA in June sunset will be very late some of the way (9:30 ish in Missoula).
Stop at any attractions that pique your interest.
Stop and fix dinner. This may or not be the end of your riding day and in camp. You might ask around about where you can camp. You might be invited to stay with someone or to have dinner in their home. I find it happens pretty often. Note that on the TA in June sunset will be very late some of the way (9:30 ish in Missoula). Also sunrise will be before 6 (~5:45). So you have 15 hours of daylight to squeeze in 6 hours of actual riding.
Stop and meet whatever other tourists you meet. If they are going the opposite way compare notes. If going the same way consider riding or camping together. I have sometimes met others that I camped with for large portions of my tours. I probably could have ridden with them as well, but typically choose not to.
Most of the meeting people occurs during the day, not at the end of the day after everything else is done.