It probably will not work out.
We are scheduled to arrive at the hotel at 3 PM that day. This is based on a presumption that I can average the posted speed limit (70 in Arkansas, 75 in Oklahoma) from West Memphis to Oklahoma City. Generally not an unreasonable proposition on rural Interstates outside of the northeast.
Generally not unreasonable except for a wild card. The Highway 40 bridge over the Arkansas River collapsed into the water after being struck by a barge sometime back. It will not be repaired by the time we pass through the area. The model run I am using to estimate time that day makes no allowance for detours, since the Oklahoma department of transportation (or whatever they are formally called) has provided very little information in this regard. They show only the local detour (the smallest deviation possible, right around the bridge demolition site), which they also caution is fraught with considerable delay as the roads are two-lane, use stop sign and traffic light traffic control devices, etc. They suggest longer detours, but do not provide routing details. (I surmised one of these, ran a model, and we arrive at 5:30 PM CT).
Even if the detour sufferred no delays (I might get lucky, it will be a Sunday), we would most likely arrive at the hotel at 3:30 PM CT. Not enough time, as I see, to get to the museum as it closes at 5 PM CT.