Growing grass in very Sandy Northern Michigan

We purchased the cabin in the northern lower peninsula of Michigan near Traverse City. The section I want to plant grass is roughly 200 foot by 200 foot, it was clear-cut in that area so it is in direct contact with the Sun set aside from the trees on the outer Four walls. The grass is extremely Sandy, almost to the point of all sand. I'm going to be getting a bobcat and flattening everything next weekend and I plan on throwing down some grass seed. More or less my question is what is the best grass seed or best options to obtain a decent grass lawn while keeping on the smaller side of a financial investment for it. The cabin is way off the beaten path and definitely would be unable to move and a topsoil to the property. It would be extremely hard for even a dump truck to access considering the Sandy ground. Any suggestions would be greatly appreciated

We live in the high desert area of the southern rockies.  Our "soil" is mostly sand.  Blue grama grass grows naturally here and is highly valuable as open
range forage. It is low bunch grass of a light minty turquiose color so not quite what midwesterners consider a lawn.  The spring seed heads are quite showy.
You may also want to first plant with some green manure cover crops like clover, and buckwheat, native wild flowers,  let them amend the soil then seed in the
with the lawn,.