Actually, the DP I have (Roland FP-50) has speakers that face out the back towards audience. The speakers are quite powerful. What it lacks is robust accompaniment. However, I have been writing my own accompaniment on iPad GarageBand and running it through the stereo input on the FP-50 so I can do "one-man-band" jazz stuff. Still, the FP-50 is a good 10 pounds heavier than the Casio PX-360.
as an update, I found a local PX-360 at a GC and tested it out after I posted my original message. There is a definite difference in speaker output...so I would probably need a small stereo amp. I am probably going to stick with the Roland for now...the combo with the iPad works fine enough for what I need. Still, I did like parts of the PX-360....maybe in the future.