Yahoo's omg! reports the 6-foot-tall beauty was excited to find out the prince, who is 6-foot-2, towered over reporters all the time.
"Perfect!" she said. "We are meant to be! Miss USA is like royalty in America so it'll be a pleasure to meet him."
Later inquiring about the prince's relationship status, the 27-year-old beauty queen said, "It would make a great story -- we should totally get married."
Sadly, Meriwether was unable to romance the prince during the event as he was busy hosting his 200 guests.
In addition, it has been reported that Harry is currently dating dance student Cressida Bonas, 24, with whom he was spotted skiing in Switzerland in February.
Swim Week Miami Beach 2014 [PHOTOS]