He could put a large capacitor in parallel with the LD. Simple but not as safe or efficient as a switching LD driver. If the OP is really is not sure of his electronics skills I would recommend getting a kit with the driver's current already preset.
You could use a 2.4 ohm, 5 watt resistor to drop the voltage from 2 x 3.6 volt lithium batteries in series ( 7.2 volts ) to drive the laser diode at 4.3 volts and 1.2 amps.