And you call that a simple question Ken....

Welcome Ken....
It's not really so much a question of what method is better or best... but more a question of what point of view of aqauponics you coming from... or heading towards...
The UVI, floating raft model is a proven "commercial" system... and is intended and designed from that perspective... with associated requirements for land area, infrastructure, filtration and set up costs...
Flood & drain media beds are more applicable to home production... require less space, setup cost... and include the filtration/infrastructure components within the initial design... and within the growbeds themselves...
It is possible to setup a floating raft system in your backyard/farm etc... if you have the space, filtration equipment and knowledge and understanding of how DWC (deep water culture) works...
DWC is a continuous flow recirculating system that relies on pre-filtration/solids removal... and oxygen/aeration injection within the channels upon which the rafts sit...
Flood & drain on the other hand... utilises the media filled growbeds as the filtration method and entraps the solids to provide mineralisation...
They can be continuously pumped and drained by autosiphons... or intermittently pumped (by timer)... and drained by standpipes...
The repetitive flood & drain not only removes solids from the water, provides mineralisation for the plants... but oxygenates the water for both the plants and fishes benefit...
Ask away... I'm sure you have even more questions now