I'm sure the Remington is up to it but a lot of muzzleloaders are capable of making a 250 yd kill, and with less than 200 grains of powder. However all of them, including the Remington, require load development (the right bullet/powder combo) and much practice to be consistent at that range. Personally I'd concentrate on the hunting aspect & try to get a closer shot....part of the reason for the season.
JMO YMMV