I guess a better way to ask this question (or an alternative to it, in my case) would be to first ask what a good way to do this would be, instead. Namely, I want to have a gadget on my desktop (not just in a browser window) with options such as overlaying on top of other windows, offline caching, etc. that is dedicated expressly to a given website (no browsing functions or menus).
Be even more awesome if I could indicate a specific physical part of the website to show in the gadget. Someone's probably got to have a scraper for doing that...