Mine had the exact same problem even after replacing the front rotors. Bad shake you could feel in the front. Turned out it was the REAR rotors. So replace them first.
Rotors are so cheap I don't know why anyone even bothers anymore to turn them. Waste of time and money.Took the rotors to turn but couldn't. One was marginal but the other was under the minimum and I could feel very slight grooving on both with a finger nail like they hadn't been turned when the dealership did the brakes a few thousand miles ago... That was interesting to me, seems they would have sold my folks some overpriced replacements. I don't know but I don't see how the pads could wear the rotor down below minimal specs. Hard to find trust worthy shops.
The pads had minimal wear so replaced the rotors and went for a drive. Problem seems to be resolved. Thanks for all the help.