No issues. BUT WORK UP ANYWAY FIRST......

I've run 25grs. of B-Mark with 50's with boring regularity, 26.5 with 40's. The 36 Barnes is about like a 45 jacketed, length wise.

They won't be super fast, but decent.
They will be hotter than SAAMI loads for the 222, but it isn't loaded hot at all in deference to single shots and single lug rifles; your 722 will easily handle the pressures. I'd still work up.