"The poster, which depicts Daniels in a cowboy hat and cutoff-jean shorts, lists as its selling points photo opps, autographs and the "(Alleged) Trump Affair".
He admitted making the payment to Stormy in February this year, but says it was his own money, and Trump knew nothing about it.
Trump and Brady are said to have had a close friendship over the years.
He warned her to "leave Trump alone". "And then he leaned around and looked at my daughter and said, 'That's a handsome little girl".
The adult-film star told Anderson Cooper she was on her way to a fitness class with her infant daughter when an unidentified man approached her.
She told "The View", "I didn't tell my husband at the time, I was embarrassed".
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Daniels said she was in a parking lot preparing to go into a fitness class, and was pulling her infant daughter's auto seat and diaper bag out of her vehicle.
Stormy Daniels revealed the sketch of the man she claims threatened her on Tuesday during an interview on the daytime talk show "The View". Avenatti announced that there's now a $100,000 reward for anyone who can positively identify the man from the composite sketch. Plus, the client had specifically asked for privacy and requested that they appeal any demand to divulge his name. "He has played by a different set of rules or, shall we say, no rules at all".
The White House and Trump have steadfastly denied that any affair took place, and have said that Trump was unaware and had nothing to do with the $130,000 payout to Daniels.
"I am dancing more". But Daniels' legal team - led by Avenatti - are doing their part to boost her already high profile and keep her in the news as much as possible. "I work in the adult business and I'm a better actor than he is", Daniels joked to the laughter of the studio audience.
Daniels added, "Nothing about him alarmed me".
Daniels formed an exploratory committee ahead of the 2010 Senate race, and considered running against a Christian Right conservative who had been caught up in a prostitution scandal.
Daniels, recounting the alleged 2011 incident on "The View", said that what she remembers "so clearly about him was that nothing looked alarming about the way he looked at first".
"I think it's bad. I didn't want my life turned upside down".