Penn State's three nominees are tied for the most in the conference alongside No. 1 Wisconsin.
The 16 positive tests represent Penn State's most in a single week since late September.
Barnwell was the only player committed to Penn State's 2023 class.
The museum's capacity will be limited to 30 people once it reopens to the public.
Penn State hopes the decision will ease high schoolers' anxieties while testing is disrupted by the coronavirus pandemic.
The event will take place 11 a.m. to 2 p.m. from Tuesday, January 26 through Thursday, January 28.