You should look at your calcium to magnesium ratio on your soil test. When you're talking two tons of lime per acre, you can very easily get your nutrients out of whack. Without any more information, I'd guess you need magnesium, and some calcium. If you want to go at it without checking, do a ton of calcitic lime and a ton of dolomitic lime.
Far as plantings, plan for heat and no rain. That means mung beans, sunhemp, sorghum-sudan grass. That should be a self feeding plot far as nutrients go. You'll want to plan for abundant biomass in case you're successful, so have a plan to deal with it, but that's what you need to make sand work. Find a way to get your fall seed broadcast into it, and then roll it all flat. Do not mow, do not till, just find a way to flatten it. It'll make the perfect carpet to germinate your fall seeds.
If you don't have a great tool to deal with big sunnhemp, you may want to leave that out, and just do mung beans, sorghum sudan, white sweet clover, and japanese millet. But be thinking big biomass to cover your sand. Keep the sun off your sand and it'll do immensely better.