I use a standard Chrome window + an Incognito Chrome window to do similar, but the problem with that is that if you open more Incognito windows (eg more then 2

I use a standard Chrome window + an Incognito Chrome window to do similar, but the problem with that is that if you open more Incognito windows (eg more then 2 sites at once), they share the cookies/etc with the first Incognito window. It'd be nice if every Incognito window had it's own silo'd cookies/data.