VOR DME perhaps?
Over at my airport (ESGG in Sweden) the MDA when GS is out is just 769ft (254 ft AGL) so you can get pretty close to ground without ILS
NDB approaches are common as well, they generally have higer minimas though.
However, most modern airliners can fly a fully automated approach by using GPS and the onboard Flight management system (RNAV). No navaids required at all...higher minimas than ILS of course but often lower than conventional NDB approaches.
On the boeing 737, when approaching the final approach fix, simply spin the alt. wheel to ZERO and fly the approach with VNAV/LNAV
Don't know if Kingston is RNAV authorized though...do you have any clue ???
Edit: As I suspected, Kingston has 2 instrument approaches, one VOR DME and an NDB for rwy 12
Straight in landings
VOR DME = MDA 400
NDB = MDA 560
Charts can be found here
http://www.kingstonvirtual.org.ky/mkjpchart.htm
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