Several good and interesting options have been proffered. Based upon your having both BRA and DASHER reamers, I'll push hard for the 25BRA, or, heaven forbid, if you own a 22, or, 6BR reamer, a plane-Jane 25BR. Precision enough to kill vermin while using virgin brass . . . and following that, crazy good.

Difficult to argue against the readily available Peterson, or Lapua brass. Via the BR based 25s, I keep the bullet weight @ 88gr - even up to 100gr, the BR case will provide surprising velocity.
Especially with bullets of 100gr & <, the 250/3000 Savage capacity is very good, as is the 250/3000 Imp (250/3000 brass may be difficult to find, so, for these, more forming may be in order): the 25/47 LAPUA, is about equal to the 250/3000AI, but with no real fire-forming. The latter pair hold enough fuel to preform well with bullets of up to 110gr. Both Peterson and Lapua make excellent 6/6.5x47 brass - again simple and precise enough for initial
firing rodent/coyote control. I have used the 25x47 only for NBRSA Hunter Class competition, and have used the 110 BT exclusively.
I am pretty opinionated regarding the 1/4 step up to the Creedmoor capacity - no appreciable performance increase. If you opt to go larger than 25x47Lapua capacity, go BIG(ger) - at least up to a 25x300WSM/257Wby area . . . but then, you can kiss barrel life good bye more often (waht's wrong with THAT?


)! I never pass up an excuse to try something new!


Now, just to roil the stream - never overlook the 257 Roberts, or, more especially, the Ackley Improved version: my 257AI barrels, @ 24", and a healthy dose of RL-17 run 110gr BT [over the old Oehler] at a nifty 3330fps. With these larger capacity cartridges, I stick [mostly] to 110gr > bullet weights, as they are used primarily for pronghorn, mule deer, or coyotes - low volume shootin'.
As usual, I'm beginning to ramble. I like your desire to try something different, and your original thought regarding the BR based cartridge . . . the BRA is appealing, and very unlikely to disappoint.

RG