RMR has 1,000 FMJ .223 for $82, and that is before the THR discount. Good for plinking, but the 52gr Dogtowns are much more accurate, and still reasonably priced.
Add $29 for 1k primers, and 1/2 of a $180 8 lb Jug of Varget, Benchmark, etc. Both of these meter fine through a Lee measure, I don't own a Dillon.
Comes in right around $0.20 per bang, not including shipping. As far as shipping is concerned, group orders, or just buying a lot yourself (or buying local) is the only way to help there.
Still, it is one of the worst calibers to reload as far as savings go. It is also more effort since you have to assume just about every primer pocket needs fixing.
That's why my 9mm AR gets 5 times as much range time as the 5.56. No lubing, trimming, swaging, and the price is around $0.12 per round. And I can use the progressive press for the whole loading process.