If GPS can't work, neither will your radio.
I'm unclear what you mean by "pricey." Do you really think that your custom design will be cheaper than a mass-produced GPS, particularly since you need as good as, if not better, timing performance, coupled with no simple means of synchronizing the time? Without something like a cell tower network, the amount of RF you need to generate will not be in the free regime. Without a GPS-like modulation scheme, you're going to get garbage for time synchronization in a typical city with tons of multipath.
You seem to be ignoring the overall problem of multipath and seem to think that this is a trivial problem. If it were that easy, GPS would have been supplanted by now. Have you even considered how accurate your timebases need to be?
I suggest that you look that one of the following as a more realistic alternative:
> GPS-equipped cell phones
> a cell carrier that will give you triangulated data from their cell towers for non-GPS cell phones
> Earthmate LT-20 only costs about $60. If wired to a simple USB-equipped microcontroller, you could do the hardware for less than $180 per installation.
TTFN
FAQ731-376