I've got my 3000 (with its scan doubler) working on a
Samsung SyncMaster 170MP, and everything works fine. The PIP works well.
My current screen resolution is 724x482 and the monitor scales up the screen, but I have the option to view the image at its regular resolution.
As for the issue of using 15mhz amigas with an LCD, I don't think you can do it -you really need to be running a scan doubler.
Best of luck!