These discussions just almost entertain me. Learn a tiny little bit about efficiency, and reloading, and marksmanship, and what makes a rifle work.
I don't shoot varmints anymore, but my pet load was in .223, using 28 gr. of W748 and the Nosler 50 gr. ballistic tip. Velocity was right at 3,500 fps. There is no viable reason to go faster than that, unless you just enjoy burning barrels. My longest kill on a PD was a tad over 700 yards. I shot a magpie with that load from 260 yards, and found his wings, 23 feet apart.
If you want 4,000 fps+, load the Sierra 40 gr. HP with 30 gr. of 748. Accuracy is good only to about 200 yds., but whatever small critter you hit will be vaporized.
.223 is what I consider to be the ultimate .22 cal. cartridge, because it is so versatile. Speer makes a 45 gr. Jet bullet that looks like a semi wadcutter JHP. Load that with 12 gr. of Blue Dot for 2,300 fps for something cheaper, quieter and more effective than .22 Mag. within 200 yds.
Sierra makes a 65 gr. BTSP Gameking. If you can't kill a deer with that, you should be getting all of your meat from Walmart.