But first, Beasley, the freshman out of Kansas State, said Wednesday that he still believes Chicago is debating whether to select him or Derrick Rose of Memphis with the No. 1 pick.
"Hopefully I can go [No. 1], but it's not in my hands right now," Beasley said.
Beasley and his representation said they honestly believe that Chicago is still debating whom to take first. The Bulls won't give a nod publicly that they have made up their mind for Rose, although Rose's representatives expect that he will wind up in Chicago.
"My competitive nature is that I want to go No. 1," Beasley said. "I can't say that 100 percent it's going to happen."
Beasley said he was aware of all the chatter about the Heat taking him and then possibly trading him to get Mayo or Bayless.
But Beasley said he's a fit in Miami.
The indecision, though, has actually made him, "scared. You don't know where you're going to end up."
When he finally hears his name called, Beasley said he'll be relieved and might cry.
What would the Bulls be missing if they don't select him? A "hard worker, a good rebounder and an all-around nice guy," Beasley said.
Mayo and Bayless are playing the polite role, as well.
Mayo and Bayless held separate workouts in Miami on Tuesday. Mayo is holding out hope that he could be selected No. 2, but he also understands that he more likely could be pursued through a trade. Bayless said he understands he could be a part of a trade to get him to Miami, too.
Mayo said he was convinced Miami brought him in to get one more good look before making a final decision.
"Hopefully I'll get selected No. 2," Mayo said.
Mayo said he's banking on his new relationship with Wade working in his favor to get to Miami either at No. 2 or through a trade with likely Minnesota or Seattle, which also covet Mayo with the No. 3 and 4 picks, respectively.
"Me and Dwyane really bonded over the last month or so. We went to dinner, hung out and worked out with each other lifting weights," Mayo said. "D-Wade is a great guy, a great role model and a great professional that I wouldn't mind looking up to him, and playing alongside him and learning from him."
Mayo said he'd love to be "the butler to D-Wade's Batman and Shawn Marion's Robin."
Mayo said that every team that interviewed him within the past week (which includes Miami, Memphis, Minnesota and Seattle) asked him about the allegations that he accepted gifts and money from an agent, as first reported by ESPN's "Outside the Lines."
Mayo said it wasn't the first time he was asked about the allegations by an NBA team.
"They asked me to tell them what happened, and how you got to USC, and to tell me about you and Rodney [Guillory, the intermediary] and the allegations," Mayo said. "They didn't care what Louis [Johnson, a former Mayo insider who spoke to OTL and provided documentation about gifts and funds funneled to Mayo] was saying was right or wrong because it really has nothing to do with the NBA or their organization. But they just want to know what happened.
"I just told them I don't know," Mayo said. "I didn't accept anything."
Mayo said he hasn't talked to the NCAA and is hoping he is cleared of the allegations to remove the "dark cloud" over him.
Both Mayo and Bayless said they worked out for the Heat outside of the Miami area (Mayo in Chicago and Bayless in Phoenix) before going to Miami to work out in front of the organization.
"They wanted to see my all-around game, and show I could shoot the ball and handle it and show my defensive skills," Bayless said. "Hopefully they liked me enough to find a way to get me."
While Beasley, Mayo and Bayless were uncertain about whether or not they'll be in Miami, Rose wasn't 100 percent convinced he won't be there, either.
"It wouldn't matter either way," said Rose about going No. 2.
That's a departure from when he said last Thursday in Chicago, that he would be disappointed if he didn't go to his hometown Bulls.
"My goal is to be in the NBA," he said Wednesday.
Rose said that he believes that the Bulls could use his leadership.
"I'd love to play in Chicago, that's my dream, just to play at home and bring fans to the stadium and just have fun," Rose said.
Meanwhile, UCLA freshman Kevin Love said that he's anticipating he'll go to Memphis at No. 5. He said he had a great workout with Minnesota at No. 3 in front of Kevin McHale and the Timberwolves' brass.
But Love is saying the right things, adding that Memphis is a great organization and that he's ready to step in and contribute right away.
"I think I'm ready, if not the most ready to contribute right away," Love said. "I can bring it every night and be a winner. I can bring the intangibles every night."
Andy Katz is a senior writer at ESPN.com.