I take it you are driving I-30. The kids and I liked stopping in Texarkana for the photo-op at the Federal Building/Post Office on State Line Avenue.
They have a place outside where Arkansas and Texas meet, to take your pic with one foot in each state. It's neat to also look on both sides of the street, how one side is Texas and the other is Arkansas. There are also interesting historical statues within eyeshot of where you are standing.
We came thru on a Sunday morning and there was no traffic at all. You could have parked ten semi's in the area. Not sure how much traffic there is in the week, but according to the article in Roadside America, the reviewer said there wasn't much even in the middle of the week.
Half-n-Half Post Office Photo Op, Texarkana, Arkansas
Personally, I like these little offbeat things, probably more than the main tourist stuff.