In open outdoor areas, it is critical to get fans that move a lot of air since you don't have 4 walls for the air to bounce off of. So you are only going to feel air directly beneath the fan. Not all fans are built equal and there are huge differences in performance between various brands and models and sizes.

Since you want fans that create the most breeze, so you need to compare the "Wind Speed" not the CFM. Wind Speed is how fast the air moves, CFM is now much air a fan moves. The faster the air moves, the more breeze you feel. Larger fans typical have a higher CFM (cubic feet per minute) but spin slower, so the wind speed is lower. Smaller fans spin faster so they create more wind speed, but over a smaller area, hence less CFM.

This is a generalized statement because there are some larger fans (like the i6 below) that will create more wind speed than most smaller diameter fans just because they are so well built (and quite expensive).

You must also consider your location in the Gulf South. If you are within a mile of the ocean, you will need to consider salt air, which is a big factor.

The only website that compares fans by "Wind Speed" is Hansen Wholesale. You can view their Outdoor Ceiling Fans here. Look for fans that are at least 3.5 MPH wind speed. Over 4 MPH is superb, but there are very few fans on the market capable of producing that much breeze.

Here are 3 fans I strongly recommend. I am showing them in white, but there are other finishes available.

72" Big Ass Fans i6 has a wind speed factor of 4.51 MPH

54" Minka Aire Cone has a wind speed factor of 4.53 MPH

52" Mattews Donaire has a wind speed factor of 3.8 MPH - This fan is made from stainless steel and is one of very few fans that can handle salt air. This fan even withstood Hurricane Irma!