I know that United also offers some direct flights from ORD to GCM in the high season but they also discontinue them in the low season.
I wish that at least one airline would offer the direct flights from Chicago all year round. Even if it were more expensive it would be worth it to save time and avoid the hassle and the increased chance of delays.
Last fall we went to Little Cayman and the return trip took 12 hours to just travel 1600 miles. We visited 5 airports and took 4 planes and that was the best option available! The trip home from Brac will be a little easier this year, we will have to take 3 planes and visit 4 airports.
It annoys me that it is such a hassle to travel from a major hub like ORD to GCM and then the sister islands. It took me 12 hours to fly direct to Korea from ORD last year and that was 6500 miles!
Brac has a larger airport than LC and it can accommodate all of CA's aircraft including jets - but LC's airport can only accommodate smaller planes like the Otter - and you often have to make a stop on Brac on the way to and from GCM.
In the past, CA has offered direct flights to Brac from Miami during the high season, but I don't know if that is still an option.