I think your best bet is to establish native plants which will thrive in this environment. Trying to establish and maintain turf here will be an expensive and uphill battle.
I thank you for the input, but everyone here has some sort of a lawn, and I think most people don't want only bedding as their "lawn". It may be uphill and expensive, but just think, if I can get a few customers, and my own lawn to look good, others will take notice. Hence, my thought of removing 6" of sand and bringing in triple mix... that should be a very good starting off point rather than taking years to ammend the soil.