.223 uses less powder brass is cheap and plentiful, can be found standard in faster twists allowing more variety of weights useable. I use both the .223 and the .-250, the latter collects more dust and the .223 is a single shot. If you want more speed, pick up more REAL versatility and get a .243. Still fairly affordable whether factory or handloads (but much cheaper hand loaded) and you can make brass out of .308. .44 Mag revolver but also the .357. .260 rem or 7-08 (highly favoring the .260) brass can be made out of .308 if necessary and with the right bullets and shot placement you'll need not worry about elk. 6.5-284 Norma will extend your range, if you really think you need it. With your .44 20GA and a .223/243 and a .264/.284(6.5/7mm) there is nothing I can think of on this continent that you couldn't kill. If you WANT more, then YOU should decide just how MUCH more you want.Hey, how's the Maine winter so far? I miss a lot of things about Northern New England, but snow removal and #2 heating oil are not among them.
A .44 mag handgun is next on my to buy list. The 1894 needs a little brother.
For a smaller bore, longer range round, I periodically consider the .22-250. It can be easily loaded down to .223 levels for increased barrel and throat longevity, but loaded to full potential with a really good bullet, it would be adequate for the relatively small deer out here on the off chance I get to hunt. Unless I was sure I was going hunt deer every year, I wouldn't want to spend the money on an '06 class rifle only to have it sit in the safe 90 percent of the time.