Some are better about traveling than others - it was fun when I was at ND in the late 90s and LSU came to town - but when Georgia came to Notre Dame a few years ago it was the first trip north of the Mason-Dixon Line since before they integrated their football team. Florida, too, hardly ever leaves the South.
Most SEC teams seem to play three directionals and one P5 nonconference. Maybe two if it’s their in-state rival but those are mostly those ACC schools you’re ragging on.
And sure Mississippi State and Mizzou are sometimes decent but so are Va Tech and Wake and UVA.
Georgia, obviously, has their annual rival with GT. Off the top of my head, they've been to Notre Dame (as mentioned), Oklahoma State and Colorado. They're big on the neutral site games though (last year with Clemson in Charlotte, this year with Oregon in Atlanta - if that counts as "neutral"). Fuck Georgia, though. I hate 'em.
You're right about Florida. Florida has their annual rivalry with FSU, but they also tend to play a bunch of in-state school (including Miami). I believe they're going to Utah this year, though.
I'm fortunate enough to have seen LSU play at Virginia Tech (we thoroughly got our ass kicked), @ Arizona State (unreal "scenery"), @ Washington (unreal natural scenery), and @ Texas. Unfortunately, I missed out on the 2011 West Virginia trip. I was in college at the time, and expended a significant amount making the LSU-Oregon trip in Dallas.
But, yeah, it's typically one, maybe two power-5 opponents, and then a bunch of directional opponents. I just wish they'd bump it to a 9 game conference schedule. In time...