Washington (CNN) A number of high-profile Republicans, fearful of a potential melee in Cleveland this summer, are considering skipping the Republican National Convention and campaigning back home instead.

With the presidential campaign hitting a fever pitch and Donald Trump warning about riots if he’s denied the nomination, some House and Senate Republicans tell CNN that it makes more sense to spend time with voters back home rather than be associated with the drama engulfing their party.

But even some leading party stalwarts are planning to skip the convention.

Asked Tuesday if he’d attend the convention, former Florida Gov. Jeb Bush told CNN: “No.”

“Unlikely,” GOP Sen. Kelly Ayotte said when asked if she’d be in Cleveland in the midst of her tough bid for a second term. “I’ve got a lot of work to do in New Hampshire, I have my own re-election and I’m going to be focusing on my voters in New Hampshire.”

The decision underscores the dilemma confronting Republicans in being tied too closely to the top of the ticket — particularly incumbents from swing states worried that Trump’s divisive candidacy and Ted Cruz’s rigid brand of conservatism will doom their chances at keeping power in both chambers of Congress.