My brother laughed at this question because he said he warned you too about the 256 winmag, but you got mad and blocked him.
Here's the deal. A hunter must ONLY take an ethical shot...a shot he is 99?ure will lead to a quick and clean kill.
I realize you have a sunken chest and are very small, so what works for most people won't work for you. Well...if you were blind you might have to give up on the dream of riding a motorcycle from LA to New York. Same thing here, if your body isn't capable of firing a serious enough cartridge to give a clean kill, you may need to simply choose another hobby. That's life. You need not give up hunting entirely, maybe switch to hunting coyote or something with a 223
BUT if you insist on hunting deer, to do it ethically you are going to need AT LEAST a 357 magnum levergun and keep the range VERY SHORT...or be ready to spend extra money.
The 223 and especially the 22-250 CAN be used to hunt deer, BUT (and this is a big BUT) proper bullet is critical.
First thing you need to do is research in the bullet maker's catalog what kid of game that bullet is recommended for. They will use a numbering system or a CXP system.
CXP 1 = rabbits all the way up to coyote and small African antelope, 50 lb animals
CXP 2 = deer sized game 51lbs to 300-350lbs
CXP 3 = large but relatively soft skinned animals, 350+lbs this is elk, eland, kudzu, zebra, brown bear, even lion.
CXP 4 = american bison, african cape buffalo, rhino, hippo, elephant.
you may need to get reloading manuals or get catalogus from the company, often the bullet data on websites is very lacking in needed detail.
The bullet you linked is for CXP1 critters. of all the 22-250 loads at midway usa I'd say http://www.midwayusa.com/viewProduct/?productNumber=789935
is the closest thing to a real deer load.
Thing is, even that isn't really great. Over in Europe for hunting their small deer they use various 22 caliber rifles, but they also use 70 to 80 grain bullets and have a slower rifling designed to stablize those. As most american 22-250s are exclusively varmint guns, most have barrels with a twist rate designed to handle varmint weight bullets. There isn't any interest or market for the heavier 'deer weight' 22-250 bullets nor rifles with that twist.
you can, however, get a custom barrel and reload you own ammo...or have some reloader load you up some custom stuff.
see the 70 grain .224 bullet...that's what you'd want. You could hunt deer fine if you loaded it on a 223 or a 22-250, provided you had the 1/8 twist.
Take a look at this
that's the old 22 savage high power round, been obsolete in this country for 80 years, but in europe the same cartridge combined with a heavy bullet makes a good roe deer round, and could work okay for whitetails if you keep your ranges short. So you basically want to recreate that with handloading and a custom barrel.
you can buy a Hart barrel in any contour and any caliber and any twist you want for about $350 and have a gunsmith install it on your rifle for $300 you can buy the most beat up old rifle at the gunstore you can find to be your 'base gun' or buy a milsurp mauser like those Mitchel Mausers, or www.classicarms.us has some for $179...add in $70 for a stock....
yea, you just spent $900....but you have a custom rifle, and you have what you need to get the job done.
The OTHER option is to get a 243 remington or a 250 savage and remove the stock. Drill channels in the stock, melt down some lead and add about 3/4th of a pound of lead on each side of the barrel channel. Next remove the pad on the stock, drill a hole into the stock and add 1.5 lbs of lead in there, and then cap it off with a Kick-eez or other high end recoil pad. 3 extra lbs of rifle will go a long way to reducing recoil. Add a big heavy scope too
If someone is coming at a hobby where there handicap makes it harder than normal, it is reasonable for them to expect to pay a lot more. It may not be fair, but that is life. It costs a lot more for a guy who is paralyzed from the waist down to outfit himself to ski that it does an able bodied person. person in a wheelchair is pretty much stuck driving vans...and it takes a lot of extra money to put a lift in and put gas, break, etc levers on the dash.