A. Rifle choice is more important than caliber choice - how much do you have to spend? Does that include optics (scope, mount, & rings), sling, and ammo too? Or just rifle only? Fit of the rifle to you, having the featured desired, and the accuracy needed for your use are the most important considerations. Gotta know budget to know that.
B. Having said that, as for caliber for an all-around big-gamer, I'd look to the 'sweet spot' at one of the very-popular (for good reason) mostly-non-magnum 'goldilocks' bottle-necked calibers from .243 Win up to .338 Federal. .22-250 would be a downright terrible choice, and a .300 maggie, while a much better choice than .22-250, is overkill for most anything, except for large game taken with the longest of shots across the steepest of non-flora'd canyons out West, IMO. So IMO, you should be looking at cartridges IN BETWEEN your two "extreme choices".
Since you said hogs, too (tough critters), I'd look at a .25 caliber minimum, and look closely at these calibers:
.257 Roberts
.25-'06 Rem
.260 Rem
6.5x55mm Swedish
6.5-.284 Norma
.270 WSM
.270 Win
7mm-08
7x57mm mauser
.284 Win
.280 Rem
7mm Rem Mag
7mm WSM
.30-30 Win
.308 Win
.30-'06 Spfld
7.62x54mm
7.5x55mm Swiss
8mm Mauser
.338 Federal
With the ones you'll most likely be happy with in the long run bolded. The "no-brainer" best choices for most people are the 4 bolded & underlined ones, in addition to a fifth that is on the light side a bit - .243 Win. These have CHEAP & commonly-available factory ammo, and are ubiquitous for good reason - they work very very well without unnecessary blast/flash, recoil, and ammo cost.
The 7mm Remington Magnum (in the list above), though a little more expensive to shoot, is an extremely popular round for very good reason, and very flat-shooting and hard-hitting, although with a little too much blast, and too little cartridge efficiency for my taste. .25-'06 Rem is also a very flat shooting round, and good all-purpose round.
FWIW, my own "long-range hunting rifle" is chambered in .280 Remington, arguably the perfect goldilocks caliber. A LOT can be said for the very similar 7mm-08 as well. You can find 7mm-08 at places like Academy & Bass Pro Shops now (But not most Walmarts), so it's bordering on being a "mainstream caliber" at this point - very popular.
The .26s calibers, such as .260 Rem and 6.5x55mm swedish, are also becoming increasingly popular as a good tradeoff in recoil & performance, for good reason. In fact, since you seem to be a big fan of laser-like trajectory, I also would not rule out a rifle in .264 Win Mag or .270 WSM for you - these have far LESS recoil than a .300 maggie, significantly MORE long-range performance than either a .300 maggie or .22-250, and ultra-flat trajectories. They may be just the ticket for you, if you're not shooting thousands of rounds through it to wear out the barrel, and don't mind more ammo expense.
If you're one of those guys that doesn't want to mess with anything remotely "oddball", but want super long range and all-around performance, then the caliber for you is the .270 Winchester - in my opinion. With .30-'06 Springfield bringing up a very close 2nd place.
If you like to get punished with recoil, and/or have a thicker wallet, then by all means step up to one of the many, many choices in .300 maggies, or to .325 WSM, or .338 Win Mag, .338-'06, or even go up to a .35 caliber, such as .35 Whelen. Or even to a big booming straight-walled round like the .45-70 or .444 Marlin. These will all do the job too.