I would avoid the self excited induction generator for small power levels.
In your case I tend to agree with the others that a car alternator will do the job. 2100 rpm is reasonably within its range for the sort of power you want.
If you run it with full field it will probably start charging at near 1000 rpm and most of the power you produce will go into the field winding, but you may still get what you want.
As you reduce the field volts ( current) the alternator will speed up, match the turbine better, take less field power and give you more charging current.
Ideally you need a low loss method of reducing the field current. A buck converter will do this with over 80% efficiency but it is probably out of your reach. You will most likely have to make do with resistors or lamps to drop the field current. As you are not likely going to need to work with very low field currents the loss will not be as detrimental as if you were working at much higher speeds.
The main objections of using the internal regulator are that it will almost certainly hold you on full field and reduce your speed to a point where the turbine is poorly matched. If the battery volts come up ( say from solar) the regulator will reduce field and the speed will rise, possibly higher than is good for the turbine. Also the internal regulator will limit you to about 13.8v, which is only float charge and you will need more to fully charge the batteries in a reasonable time.
If you can get a high power variable resistor ( rheostat) of about 5 ohms and rated for 4 amps or more then you can feed the field through it, Start with full field, then increase resistance to give you maximum charge. Failing this you can use car lamps but they are not 100% reliable in the long run and loss of field will run the turbine over speed.
You could most likely get a 2 or 3 times improvement with a decent high quality permanent magnet alternator matched to the turbine, but you will not have any latitude for errors and you will most likely have to build it.