The Sig556 sounds like a deal.
If you go AR, consider an LMT lower for $330 and a BCM upper for $450. I hope they'll be available again soon. Another $175 for BCG, CH, and HG. So that's a bit over budget, and no FF, but you'll have quality.
I think the 1:7 twist is worth getting...if you consider hunting with 77 grain, 1:9 is not best for that.
I understand the desire for medcon, however the quality of the BCM barrel may help offset that concern. YMMV, but I'd prefer a gov't BCM to plenty of medcons out there.