Jason
I have never had any luck trying to guess speed from the woosh noises, no doubt it can be done. Despite that, your estimated cut in of 160 rpm does seem reasonable for a fairly wide gap on that alternator.
This implies that the open circuit of 20v would have been at 266 rpm and that may come out at perhaps 12 mph so you are looking at low winds.
Is the cable 2.5mm dia or 2.5mm^2 Even at 2.5mm dia it would only be 5mm^2 which is small for that run at 12v. Any chance of trying into a temporary battery at base of tower, that would reduce cable resistance significantly. If it makes a big difference then look for heavier cable. If it makes no difference then it all points to lack of wind.
In this part of the world an open circuit machine will get up to a frightening roar on a windy day, there would be no question of identifying any woosh/woosh.
I have a feeling that you would do better with a cut in nearer 120 rpm. I think you could get it with your present magnets with a few more turns on the coils and a bit better mechanical set up. If you want to go for the 16 pole you may want to decide if it is worth going up to a 12ft prop but don't forget all the implications about increased alternator offset ( you may get real wind one day and want it to furl).
If you intend to keep to 10ft then the 16 pole would need about the same turns ( 35 ish). If you wanted to go up to 12 ft then it would be better to play safe and go up to about 40 turns and you could still use it at 10ft with a wider air gap. I have a feeling that you are going to need the largest blades you can manage with and you need not worry about the current carrying and burnout problems that others in windy areas have to face.
See if you can safely reduce the air gap on the present alternator even a mm reduction would help considerably and try the lower cable resistance before you do anything drastic.
Flux