I am not sure size is an issue.
You don't need an outside air intake,and a even a 8" rocket exhaust could pass through most windows with room to spare.
The opening around the exhaust
should be closed off with something non-flammable,like sheet metal.
Mass will probably be more of an issue.
Minimum structural changes, minimum foot print, transportable, all point to a relatively small mass.
Since a mass can only be charged so much, there is little point in a large rocket.
I would build a 6" J-tube,or 4" batch box rocket for your application.
Ian told that things get tricky any smaller than that.