Pretty much +1 all said above. I had a nice BAR in .300 win mag that I got rid of 20 years ago and now have no rifles heavier than plain old .308, simply because there's nothing in my state that a .308 isn't much more than adequate for. On 'which bullet', I stick with the ones that are both commonly-available and which my guns like best accuracy-wise.
In one gun, it's plain old federal 308B 180-grain softpoint. It does less than one moa from my heavy-barrel savage if I do my part. My lightweight scouterized weatherby carbine has two favorite loads - the Hornady 168 BTHP match, and believe it or not, the old and near-generic Remington 180 CoreLokt. That lightweight little 20" carbine will put those cheap cheesy corelokt bullets nearly in the same hole at 50 yards. It feels like blasphemy, loading a weatherby with "low end" ammo like that, but it just loves them; so I use them.
Imo, simply define the specifics of your needs - game size (how big are your deer there), likely distances (power-lines, etc), and likely intermediate barriers if any (brush, etc); and simply find a round that fills those parameters logically. IMO, any semi-decent, hunting-oriented, SP or HP load of a reasonably-normal weight from 125 to 180 grains will likely work fine on any deer in Alabama if your gun likes them enough to put them where you want them.