I'd go Krieger. Their lead time wasn't bad and the barrel is amazing, like amazing for a bolt gun amazing.
If Satern has a cut rifle barrel you want IN STOCK, that'd be another. If not in stock, don't bother placing an order, you could be waiting years.
Lilja makes a good button rifle but I prefer the cut rifle stuff and the Krieger outperformed my Lilja side by side, also lighter. Still an really, really good, subMOA bbl. It's what the navy used on the recce rifle.
I can only recommend from what I've used/own.
I'd forgo all the fluting and shit too and just get the proper profile/weight. Fluting doesn't remove much weight unless it's a big barrel with big flutes anyway and even then it's not a whole lot.