You mention looking for something bigger, but then state it's for small tasks. Of the knives you've listed, only the SOG is bigger than the KaBar. The LMF II will have a slightly shorter blade, and the RAT 3 will be significantly shorter.
That said, IMHO a KaBar is more knife than I want for small tasks. I'm partial to fixed blades right around 4" or maybe a bit shorter. My favorite woods knife right now is a Bark River Gunny Hunter. To me that's about the best all-arounder I've used (but I'll admit, I don't have nearly the experience of many folks here). I've also got an Enzo Trapper that my dad made for me, and that's been a great knife as well.
Moras are popular. I've got a Mora Heavy Duty in carbon steel that is a beast around the camp. I had a kydex sheath made for it that was more than the knife, but I love that setup. Becker BK's are popular as well - particularly the BK 2 and BK 16. Great knives, and well within your budget. A Buck Vanguard falls in your price range, and the ones I've used have been very good knives.
Really, you've got a good budget, and can get at least one great knife for that amount of money. Spend some time looking at videos and web sites. What blade shape do you want? Steel choice? Handle? Sheath material? Chances are there's something out there in your budget that will fit your needs/wants better than the rest. Buy that knife, use the heck out of it, and perhaps figure out you'd rather have something different in your next knife.