Just to give anyone an update...
I took them to another auto facility and they balanced them properly. They were supposed to be balanced before they were shipped but it wasn't even close. Apparently, the business I purchased them from does a static balance, where the second garage I took them to dynamic balanced them. I don't know what any of that means, but all I know is that the ride completely improved. I was also told that one of the Lion Hart tires, which were brand new, is slightly out of round. This NAPA garage had it on all kinds of machines and have it set up pretty decent now though.
Going forward, I've learned that:
-If you buy a wheel/tire combo, get them balanced at a reputable shop before installing.
Thanks for the help!