The Cube and Vox would work, try to find 'em to listen to first. Any tube amp over about 1 (one) watt will be pretty loud by the time the power tubes are singing, but a higher wattage amp is more likely to sound similar at low to mid volume than a low power amp, so if you dial in a tone you like quiet on a 50-100w jobbie, it won't change that much 'till the windows rattle. You will, of course not be getting the best tone out of the amp, but it will be pretty consistant across volume settings.
The Line 6 might be OK, some people like 'em, I haven't been impressed with their lower end stuff.
Some of the best modeler clips I have heard have been from the lowly Behringer Vamps. One of those will be under your budget, you can record direct, and maybe if you have a PA or some sort of keyboard amp you can be heard in other settings?