I kicked around a Valkyrie or a .22 Grendel for a bit. Thinkin' 1:7 ARP barrel. 20-22". Rifle or Rifle+.

While the suck is strong with Hornady or Federal Brass, Starline makes brass for the Valk and in 6.5 Grendel. If their rifle brass can hang with their pistol brass, it should be GTG.
IF brass quality is the biggest issue, Lapua makes 6.5 Grendel brass. One easy pass through a sizer die should settle any brass quality questions/issues.

Grendel honestly made more sense to me. Shorter case leaves more room in the mag for 88's, but admittedly I've loaded for neither and it may be a non issue.

Fact is, I think I've settled on pitching together a 1:7 .223AI on a bolt gun. But I waffle more than John Kerry..............