Jeep Cherokee wobble while towed

We are very unhappy with our 2015 Cherokee as a tow vehicle. The wobble that we and others have experienced has caused us to question the safety of continuing to tow the Jeep. (Chrysler denies there's a problem) We're looking into buying something that doesn't unexpectedly oscillate so violently that it shakes the RV. It will be a financial hardship but preventing an accident is worth the money. The options are getting more limited every year but I don't think the Cherokee is a safe choice.