Good decision. Pub 970 does state, "However, you may claim the credit if the student doesn't receive a Form 1098-T because the student's ed-ucational institution isn't required to furnish a Form 1098-T to the student under existing rules (for example, if the stu-dent ... is enrolled in courses for which no aca-demic credit is awarded). If a student's educational institu-tion isn't required to provide a Form 1098-T to the student, you may claim the credit without a Form 1098-T if you oth-erwise qualify, can demonstrate that you (or a dependent) were enrolled at an eligible educational institution, and can substantiate the payment of qualified tuition and rela-ted expenses." However, the pub also states "The course must be either part of a post-secondary degree program or taken by the student to ac-quire or improve job skills." Since your student has no job, it looks like no LLC.
A bit of trivia: A number of years ago an anonymous donor gave the Yale School of Music a huge endowment to assure that all future music students would pay no tuition. What a beautiful bequest! Musicians even with world-class training at places like Yale do not have much chance of making big bucks right out of school like graduates with, say, MBAs or STEM degrees. To relieve them of the burden of student loans is truly a lifetime gift. There has been much speculation over the donor's identity. I think s/he was a highly successful musician (Ringo Starr? Cher?) who knows what it was like.