I used to have exactly that video converter... what setting are you using? I would try the "13 inch 640x480" setting, not any of the multimode ones. I don't think the IIsi supports any higher than 640x480 (see Here. The IIsi can use *at most* 320k of onboard RAM for video. ) and it *may* predate the Macs that supported "normal" VGA monitors.
Fair warnings, LCD monitors may not care for the "13 inch" mode, but most CRTs should at least pretend to work.
Fair warnings, LCD monitors may not care for the "13 inch" mode, but most CRTs should at least pretend to work.