Currently running the Falkins, and am very happy with them. Previously had the Toyo Open Country AT II, and they were the worse tire I have ever driven when it came to wet roads, great everywhere else. The AT IIIs are supposed to be much better, but I chose not to chance it, plus I got a much better deal on the Falkins. The Falkins are louder than the Toyos, the ride is about the same, Toyos seemed to get better gas mileage but not by much (which gas mileage in my truck is always horrible).
There are several other brands out there as well that would more than likely meet your needs. Recommendation is to shop around, and do comparisons, don't just limit yourself to the two options.