Looks like a Cuban Petticoat Palm aka Copernicia macroglossa to me. The one in your pic is already at a mature size and is probably pretty old! Their is a trunk underneath the dead leaves, but it seems like some people prefer not to cut off the dead leaves, making it look like its not a palm tree but some type of exotic plant.
Good luck!
-Alex

Ditto-a macroglossa. Looks pretty good. I don't know how cold-hardy they are. I imagine WPB is the limit, even in a protected spot.

After these past 2 cold winters in Florida, West Palm Beach probably is the limit, but I have heard of some growing in Tampa, and they probably could handle Orlando as well (before these past 2 winters). If their are any that far north, they probably arent as mature as the one in this pic. They are cold hardy to about 30F, and probably suffers from a freeze pretty badly.

Does the bottom look like this if left unattended? I kind of like the hula skirt look, or the look is a result of a lot of pruning and trimming effort?

Is there a drawf version of this palm?

Are there other palm (or related plants) that has a clean, architectural look and will max out at 15' of height? We are looking for something in south Florida inside an roofed courtyard.

Does the bottom look like this if left unattended? I kind of like the hula skirt look, or the look is a result of a lot of pruning and trimming effort?

Is there a drawf version of this palm?

Are there other palm (or related plants) that has a clean, architectural look and will max out at 15' of height? We are looking for something in south Florida inside an roofed courtyard.

The bottom looks like that when uncleaned. I think it looks the most interesting when its left unpruned because when pruned, it looks like pretty much any other palm. The one in your pic is probably at least 20 years old just to give you an idea of how slow these grow. It would take a long time for it to reach 15 feet tall and reaches approximate 5 feet fronds included after 10 years of growth (thats about half a foot a year).
Licuala grandis is a nice palm to look for. It stays pretty small and has nice undivided leaves. Its very tender though (more so than even a coconut palm) and will probably get damaged when temperatures are in the 40s. Usually they would be a more marginal palm in south florida (except the keys), but in a courtyard that is protected, it might do pretty well. Ive seen tall trees, but 15 feet would take a long time to reach for this palm.
Good luck!
-Alex

these can be grown as far north as Orlando, or just a few miles south of Orlando... these tolerate freezes briefly as long as it warms up soon after. Very difficult in California, even in areas in never freezes thanks to our relative lack of heat.