Everyone seems to forget the old Speer 70 grain SMP...
one of my favorite 22 caliber bullets for deer...

as a hint tho, I don't recommend shooting one and hitting a deer in the back of the neck from behind....I did that once out of a 22.250... the deer turned just as it saw me and presented me only with a "texas heart shot".. as he took off...

since I don't believe in taking those myself, I usually aim right over the tail as it is running away... and actually surprise myself on downing them with a shot like that...

for at about 250 yds, a "lucky shot" took that running buck right in the back of the neck... he literally did a somersault when hit...

got to him, and good thing it was not a head you wanted to mount...the bullet hit the spine and the front of his neck was literally opened up like a book, the size of a book...

The load had the 70 grain Speer leaving the barrel at 3300 fps...

have also used the same bullet out of a the 223 on blacktails and it does a darn good job...instantly down every time...