tx4guns said:
7mm-08 would be my vote. If a midget like DVM can shoot it, anyone can.
7mm-08 is a fantastic and unfortunately lesser known round. Easy shooting with great ballistics. My grandfather bought me one for my first hunting rifle over 20 years ago and I still use it to this day. I have since purchased several other rifles in various other calibers but I always go back to that 7mm-08 he bought me. Part of it is nostalgia and the rest is that round just works. I have taken numerous deer and large hogs over the years and it has never failed me. It wasn't too much of a round back then, is still easy to manage today and has plenty of knock down.
If you are dead set on a 243 or 22-250 my choice would be the 243. Another great round that your kid should not ever really outgrow. Buy a quality rifle in a 243 and it would likely be the last they ever
needed to buy to hunt anything in Texas.
Still I would not hesitate to recommend a 7mm-08 to anyone. I would definitely see what CTGilley had to offer.