Sorry dude, unless the ilyama monitor can do 15khz horizontal refresh, you are going to need to shell out for a scan-doubler. I got mine on ebay for about £40.
That said, if you just get the vga adapter, plug the amiga into your TV via the video out, and install some of the vga friendly monitor drivers, off aminet like DblPAL then you will be about to use the ilyama, but only at that resolution, ie. games wont work.
-Jar.