Some LCDs (better LCD-TVs that is) convert any input signal to its own native resolution. In Europe, you should be set with a good LCD TV and a SCART cable.
Here in the US, our best option is component. My idea is to use an RGB -> component converter in conjunction with a good 15 or 17" LCD TV. If the scaler hardware is decent, it should look great. To me, a 15" LCD TV with a 640x480 resolution seems ideal, as that's close to standard amiga resolutions anyway... and there are a few LCD TVs here that handle both NTSC and PAL via component, and display ALL signals at 480p. (So there shouldn't be any flicker in laced modes.)
I thought about buying an older LCD TV/Monitor (like a Samsung 171MP), which apparently can handle 15 Khz through the VGA port. However... there's no image scaling involved, so chances are amiga video would have that undesirable blocky/blurred effect you describe. In that case, I'd rather stick with a 1084, LOL.
Granted, I have yet to actually try anything... so in reality, a neobitz/jrok board + component + good LCD TV may look terrible. I'll just have to wait and see. ;-)