One thing to consider is battteries are heavy.. You can do a battery for 250ish and alts are usually about 500, but after a year of ownership, the alt is cheaper. If your listening to music alternator upgrade is bettery than batteries in general, as well. Extra batteries just keep your voltage from dropping out of the 12's as the charge they hold over their resting 12.x volts is usually pretty minimal. Until you get several batteries and 500+lbs of weight, your not going go use batteries to keep you in the 13's or 14's on music.
If your just burping and want things to stay on and make power, dropping to 12v is fine so go with batteries. If your playing music and want to keep steady voltage, get the alt.