A ceiling mounted mini-split console would work very well in my kitchen/dining room area in terms of looks and outside access for tubing, as the only usable spot for a wall mounted unit is a glass block wall that would have to be pretty much destroyed. But my ceiling is sloped. I've heard conflicting opinions, like yes for excellent drainage or no for tray overflow. The console would be near a side wall corner, through which all lines would be run down to the outside unit, sitting on a concrete slab in the backyard.

Cooling use only (I'm in the Caribbean).

All advice appreciated.