I tried that Grassroots LP copy with fr, nothing special about it despite its price. The bridge goes out of tune rather quick, after what, one dive? Acoustically it wasn't that great either, even my humble Epi sounded better. =/
Edwards is one that from ESP that many been saying that its good, I haven't tried them myself, but I'd really like to one day.

@TS
Probably your best cheap bet is an Epiphone Gothic Les Paul with Floyd Rose. Could be found in Singapore I guess. I know for sure the Gibson line has discontinued the Gothic line, but I don't recall Epiphone stopping. Everdying care to fill in?