I'm not exactly sure how much is in each chamber. I know it has a lot of poly-fill inside the box, and they play great to any style of music.
I found a box (and listed it below) that says it can be used with '96-up Ranger single cabs. It's only $20, so I'm not sure how the build quality is, but it says that there is about 0.8 cu. ft. of space. Even though the box seems kind of shallow, I believe a Type S would fit, since it's only 4.3" deep.
Sonic Sub Box: OCFRD01-10
As for the amp, I would go with the Kicker 10ZX400.1. This is a Class D Amp, so it will run cool and not dim your headlights. It's about $159, which is a little more than what you wanted to spend, but you would be saving a little if you bought the Type S (Dual 4-Ohm). This amp supplies 400W RMS at a 2-Ohm load. It fits great under my passenger seat, and I had no problems with installation.
IMHO, I would also get the "remote level bass input" controller. It adds another $25, but this is a must if you play different types of music.
Hope this helps, and let me know if you have any more questions.