The only problems Spelling Bee will have with high schools will be the erection song and the two daddies. Unless cuts or cahnges are made, middle-America schools won't touch it. But it will be hot with community and regional theatres.
All Shook Up will probably be big with high schools. It's pretty safe material, especially the gay copout, so parents don't think the show believes it is acceptable. I remember when I did Grease in high school, we were not allowed to say Rizzo was "pregnant" or use the term "VD". We had to say Rizzo was "you know" and substitute "VD" with "TB". Oh, and Greased Lightnin' was referred to as a "real dragon wagon". And knowing my high school, that probably hasn't changed in the last 17 years.
Wicked will be attempted a lot simply because high school drama teachers love to show off their prize females, of which they always favor in every production.
Rent is highly unlikely with high schools unless they are VERY liberal and even then, there will still probably be significant changes. Brooklyn is more probable, but honestly, I don't know if it's popular enough for many schools to consider. Even that show will need tweaking in the script here and there.
"What can you expect from a bunch of seitan worshippers?" - Reginald Tresilian