In addition to the good info from from Dave, sounds like many need to be tagged as private… Which is done in OSM.
Here’s a post on the subject: OSM question about gated private roads
It goes into a little more detail about the edit required (splitting ways and changing tags).
Sarazen was just a road (way) edit, and the change is obvious from the aerial map, so I did it. See: OpenStreetMap (it might take a while for the actual change to propagate in OSM, and a little longer for CS… roughly a month from the last update date listed on the CS page.)
Oh, I see the gate on Reba, so I added that and made the road after the gate private.
I see the gate on Fox too. So fixed that.
Same for Alert, so fixed that.
The last 3, Ave A, 13th and 5th, I don’t see gates, so don’t feel comfortable changing. If you can shed more light on that area, i.e. where the gates are, I should be able to help. Or take a shot at it yourself. As a bon-a-fide Strider, I’m sure you’ll find more edits. 
Welcome and congrats on Amarillo. 1870 streets (1201.52 miles) is an impressive city to complete.
PS. Just noticed Amarillo was last updated 2022-08-01, so if you are quick, you might get the changes in before the next update. That’s kinda why I jumped on those changes I did.