If the round is free I would go to Palmer Legends. I guess I would go there even if were not free if I had just
one round to play.
Executives.... hmmmm, there are many, some of my favorites:
Yankee Clipper and Souther Star (New, These are combined into 18 holes for now. I have not played Southern Star yet, but I like the layout of all the new courses and am looking forward to playing as an 18)
Redfish Run (new)
AmberWood
Bacall
There are many more nice ones, these are just a few of mine.....
What time? In January, if it is my choice I play afternoon. The mornings can be cool

, but the afternoons are almost always pleasant.
Enjoy!