Name: greene Savannah, GA (Sunset 28) (Zone 8b) I have no use for internet bullies!
You could try a bush-type cuke.
Or how about a miniature type called Creeping Cucumber aka Melothria pendula which is a vine but the tiny cukes are not heavy at all and the plant doesn't need much support..
Sunset Zone 28, AHS Heat Zone 9, USDA zone 8b~"Leaf of Faith"