There is no reason why it can't be done; Federal and Winchester don't have any voodoo that lets them break any physical laws.
You need to be good at getting things right; religious about case length and cleanliness, and willing to dump brass earlier as it will stress faster and fail. Keep an eye on it.
Use a powder that is the same as the USGI loadings (WC-844 and WC-845 from surplus shops) or slower; but too slow will get you into trouble with port-pressure. If trying slower powders, watch for the ejection pattern to change as a clue that the bolt speed is too fast. If you go too slow you will lose velocity anyway, as anything slower than H380 or 4895 is too bulky to load that fast anyway.
There are a lot of "right" powders for this caliber out there; but you are not necessarily looking for the right target powder, but the one that gives you the velocity at a reasonable pressure. I am not sure that canonical .223 powders (Varget, et al) will load enough powder to get where you want to be.
Make sure that the cases are a easy fit in your chambers; you may need small-base dies.
All of these, as you know, apply to any loading of the AR type, as with Garand and others prone to slam fires. The powder worries are the ones applying to the velocity goals we have.
Do you have a chrono? It's the best way to see if you are there; though I have used bullet drop as a useful tool.