First, I think a few psi might help - say up to 5 psi.
What's causing it?
It's the nylon cap plies. If I have this right, your tires are W speed rated - and that means they probably have 2 cap plies. (For you nitpickers, if Uniroyal is spiral wrapping the cap plies, it is likely there are 3 layers at the belt edges, and 2 everywhere else.)
OK, for flat spotting, 2 cap plies is worse than a single cap ply.
Nylon has a peculiar property in that it shrinks when heated - which makes it great for restraining a belt in a tire - BUT - it also has a fairly low glass transition temperature (the temperature where it changes phase). It is this glass transition temperature that causes the flat spot.
The best way to avoid this is to drive slowly as heating the cap ply above the glass transition temperature sets the tire up for the flat spot. Of course, that is not practical.
Sooooooo:
Try more inflation pressure. I'd start by adding 3 psi. Then as an experiment, keep adding air until you reach the max pressure (and if the tires are indeed W speed rated, that would be 51 psi.) Somewhere, the problem will get a bunch better. According to Tire Guides, your vehicle calls for 38 psi front / 34 psi rear. Those values seem funny to me, so check that against your vehicle tire placard which should be on the drivers door frame (in yellow!)
May be try driving less, ah ...... let's call it, enthusiastically. Especially when you get close to parking it. Give the tire a chance to cool down.
And as others have mentioned, different tires have different flat spotting tendencies. I have never had the ability to do the research, but I suspect this is related to how the cap plies are put on - and that generally varies according to the manufacturing plant - and not necessarily by brand.