The 6-foot-4, 210-pound Park is set to visit Notre Dame in two weeks, and the time frame gives the Irish a chance to make a strong impression late in the process.
"He was at Alabama yesterday and he's going to Georgia and Mississippi State," Stratford coach Ray Stackley said. "He's coming back and then going to a pair of other schools the following week, and he's going to Notre Dame the weekend of June 21.
"(Notre Dame) came in and watched him this spring and saw him. He said he had already seen a couple of places, and he wanted to go up and see it."
Park is also considering Florida State, Louisville, Oklahoma State, West Virginia, Virginia Tech and North Carolina State, Stackley said, and whether a school already has a committed quarterback is not an issue.
Notre Dame's interested in Park revved up in April after Gunner Kiel announced his was transferring.
"Notre Dame wasn't going to take a quarterback in this class, and then they had a guy leave and they started recruiting him again," Stackley said. "It coincided with that. They were on him a while ago, after his 10th-grade year."
One of the reasons Park is making visits now is so he can make a decision at the end of the month and ready for his senior season. He is graduating in December and will enroll in college in January.
"That's still his plans," Stackley said. "The schools he is visiting is not an indication of whether they are the top three or five schools. He wants to come to a conclusion, yes or no, on how he feels about them. He's being slow and meticulous about them because he's a mid-year guy."