What I would highly recommend to you, based on your requirements listed, would be to buy a Class D or higher amplifier. Example - Alpine's Class D amplifiers. Small amps, good power, highly efficient which means you can run thinner power/ground wires and they won't put off as much heat.
Yes, you would have no problem mounting one in the dash. One issue you could possibly have though is noise. With all the wires in the dash, noise could be an issue. Highly recommend running your ground wire up to the battery if possible, this will help for this specific install.
2007 Jeep Compass Limited - Black w/Chrome 18" OEM Wheels