It's a little apples to oranges what with the ACR being .223 and the FNAR at .308. So really one of each is the answer.
So Mike the answer to your difficult choice will most likely be decided by calibre choice, saying that the ACR (turned NR via Herron Arms) will be about $1,000 more give or take.
I do expect to find a FNAR (20" heavy) in my safe one day, even though I very much dislike the complicated take down that comes with that particular rifle. (Well unless the AR goes NR then that's all I'll ever need, that being a quality AR-10.)
With the ACR weighing in a little less (probably about .5Kg. over the FNAR 20" Heavy) and with the versatility of it's rear stock coupled with the .223 calibre it would seem the obvious choice for coyotes and hiking about the woods. However if larger game is your thing then the .308 round is a no brainer compared to .223.
Like I said earlier you really need one of each.