Mikey, you're right, the 444 can definitely be loaded down to 44 mag velocity, but that doesn't sound like what VTDW has in mind.
In a nutshell, though, if you want a 2700 fps load, get a 30-06 with 180 grain bullets, not a 444 with 180 grain bullets. They aren't liable to perform the way you'd like on hogs. For medium/large game, the 444 is great, especially with 240 grain bullets and up, clear up to 330 grains or more. I can keep a 444 clanging a 10" gong at 200 yards with a peep sight, shooting from a sitting position. That's with handloads using 265 grain or heavier slugs, and that's flat shooting enough.
The light for caliber 180 grain flatnosed slugs that you'd have to choose from would have low ballistic coefficients, so they'd shed that extra velocity quickly. You might stretch your range, but not by as much as you'd think. With their low sectional density, penetration of the 180 grain slugs won't match that of heavier slugs, even if the 180 grainers hold together on impact. Unless your alloy is chosen carefully, they may not hold together very well on close range shots.
Of course, 180 grain .430" jacketed slugs aren't designed for impacts at those high velocities. A lot of 180 grain bullets are actually designed for the lower impact velocities possible with the 44 Special, and start coming apart when they impact over 1400 fps.
I'd recommend enjoying the 444 for what it is, rather than trying to make it work like a .30-06.