occasionally I am experiencing a front end shimmy that feels like a slipped belt

What is your question?

when I get the shimmy it is felt in the steering but I have had the tires checked and balanced but I still get it slightly. I also feel a vibration when I brake at highway speeds. I think it may all be related has anyone had any experience with this? The Jeep has 93,000 miles and I would like to sell it or trade for a pickup but I don't want to if it's unsafe.