of the two you said i would go with the 22-250 it just plain beats the 223 in everything sep money. you can fine factory loaded ammo for the 22-250 everywhere from walmart to every gun store and heck your a west sider gander mountain will have every kind of ammo under the sun . the 22-250 is justa little bit more pricy then the 223 but it is worth it take a look.
223 remington 50 vmax path: 50 yards .4" high 100 yards 1.3" high 150 1.1" high 200 yards .1" low 225 yard 1.3" low ,for a P-dog (with a 3" vital zone) your point blank rang is only 227 with remington's 50 vmax load .
22-250remington 50 vmax path: 50 yards 0.0" 100 yards .7" high 150 yards .7" high 200 yards .15" low 225 yards .9" low 250 yards 2.0" low, that give you a point black range with the remington 50 vmax load of 255(again that for a 3" vital zone)
now for the kicker
223 remington 50 vmax energy: 100 yards 928 flb 150 yards 809 flb 200 yards 701 flb 250yards 606 flb
22-250 reminton 50 vmax energy: 100 yards 1188 flb 150 yards 1044 200 yards 910 flb 250 yards 799 flb
that nearly 200 flb more energy at 250 yards at that right there your going to be getting a lot of those splashes they talk about .
now lets talk turkey. if you got a gun that can really shoot and your at a p-dog hunt your not going to want to just shoot them at 250 are you?
no your going to try a least one 400 yard shot any gun can be "held over" the target to hit at long range but most the time what makes a hit a hit and a miss a miss is the wind. here are some longer range numbers on wind driff
10MPH wind wich i hope we don't have at the p-dog shoot
223: 100 yards 1.09" at 250 yards 7.55"300 yards 11.4" 350 yards 15.93" 400 yards 21.56"
just for something to look at how about.
10MPH wind
223 :1000 yards 198.112
22-250: 1000 yards 174.909
so put it this way you go the numbers and they don't lie the 223 isn't that far behind the 22-250 but for p-dog and groundhogs (franklin county boys have to shoot groundhogs i think is a law somewhere) i would rather have the splash factor of the 22-250 but guess what i have ? a 223 and i have no plan of getting a 22-250 (unless of course my handiaholicness acts up again oh please oh please)
22-250: 100 yards .8" 250 yards 6.7" 300 yards 9.6" 350 yards 13.4" 400 yards 18.1