You need to ask yourself what you actually want to solve.
For VFR, you don't need anybody anywhere. A common frequency works just fine in the USA.
For IFR, specifically for scheduling traffic onto an IAP, there are various options (including a common frequency) but, even for light GA, the Europeans will not settle for anything less than the gold plated full ATC solution, with either procedural or radar separation. And that already exists; most radar controllers cannot see the traffic they are controlling out of the window, so they can be absolutely anywhere (just as long as you don't run the VOIP links via
TalkTalk 
).
But the real issue is paying for the controller desks. In the UK, this is simply not going to happen. The funding for even one desk covering the southern UK, doing approach control for say a dozen GPS/RNAV approaches to places like Goodwood, is not going to happen. Ever. An H24 desk, radar controller ATCO salary, is going to cost a substantial part of a million quid.
This mandatory-ATC stalemate is going to ensure that GPS approaches remain all but worthless to GA in the UK. There have been attempts to suggest that the UK CAA sets up a "low cost" controller in a "hut" somewhere, providing a procedural service, covering a bunch of these approaches at "purely GA" airfields, but the politics would be utterly impenetrable.
The "remotely controlled" towers bit is, I think, a redherring since a common frequency would do just fine.