By Richard Cowan

WASHINGTON (Reuters) – Republican voters in Arizona and Florida are expected to pick Senators John McCain and Marco Rubio as their respective U.S. Senate nominees when they go to the polls on Tuesday, but one name not on either ballot, Donald Trump, looms large.

The Republican presidential nominee has endorsed both McCain and Rubio in their re-election bids even though he has rocky relations with both senators.

Trump offended McCain and many other Republicans last year by suggesting that the maverick senator and party’s 2008 presidential nominee was anything but a war hero because he was captured during the Vietnam War after his airplane was shot down during a bombing mission.

In March, Trump ended Rubio’s presidential bid by trouncing him in the Florida primary to cap a race in which the New York businessman taunted the first-term senator as “little Marco,” and Rubio insulted Trump on everything from his hair color and the size of his hands to misspelled words in tweets.

During their re-election efforts, both McCain and Rubio have offered support for Trump as the party’s White House nominee. But they have tiptoed around him, mainly out of concern that his provocative comments on illegal immigration, Muslims and U.S. support for NATO could alienate moderate and independent voters in their states.

At the same time, they have steered clear of attacks on Trump that might antagonize his core supporters.

Adding to the intrigue is that the fates of the two senators will likely play a big role in whether Republicans can upset expectations and maintain majority control of the Senate after the Nov. 8 election.

But first, McCain will have to win Tuesday’s Republican primary in Arizona and Rubio will have to prevail in Florida.

McCain, who is trying to extend a 30-year Senate career, faces a challenge from physician and former state Senator Kelli Ward, who is aligned with the conservative Tea Party movement.

McCain leads Ward by 55 percent to 29 percent, according to a CNN opinion poll released last week. But Ward is ratcheting up her attacks, arguing: “It’s time to defeat the establishment and retire McCain.”

In an interview last week with Politico, Ward called McCain, 80, “a pretty sour old guy.” Citing her medical background, she questioned whether he would even live long enough to complete another six-year Senate term.

Ward has aligned herself with Trump, who will face Democrat Hillary Clinton in November’s presidential election.

MIXING THE MORTAR

Echoing Trump’s call for the building of a wall on the southern border with Mexico, Ward has boasted: “It’s time to mix the mortar to fix the border.”

Trying to neutralize Ward’s appeal with conservatives, McCain has touted his support for gun rights, his vow to cut government waste and endorsements from anti-abortion leaders.

If McCain, who chairs the Senate Armed Services Committee, wins on Tuesday, he would face Democratic U.S. Representative Ann Kirkpatrick.

While McCain has said he is in the toughest re-election fight of his career, the CNN poll has him opening a 13-point lead over Kirkpatrick.

Rubio, who decided last year not to seek re-election to the Senate in order to pursue the Republican presidential nomination, jumped into the race in June after his failed White House bid.

His late decision to seek a second Senate term came at the urging of Republican Party leaders, who viewed him as their best hope for preventing Democrats from taking the seat.

That prompted the major Republican Senate candidates to quit, leaving Carlos Beruff, 58, a millionaire homebuilder and newcomer to politics, as Rubio’s main primary challenger. Like Ward, Beruff has embraced Trump and has accused Rubio of “tap dancing” around the presidential nominee and only offering him lukewarm support.

Rubio is polling well ahead of Beruff. A win on Tuesday means Rubio would likely face U.S. Representative Patrick Murphy, who leads the Democratic field.

(Additional reporting by Dustin Volz; Editing by Caren Bohan and Peter Cooney)

Photo: Republican U.S. presidential candidate Donald Trump waves goodbye as he leaves the stage after his wife Melania concluded her remarks at the Republican National Convention in Cleveland, Ohio, U.S. July 18, 2016. REUTERS/Mike Segar