I disagree that alfalfa and clover die after the first hard frost. Illinois whitetail will paw through snow to eat alfalfa and clover. I suspect that is true for 90% of the farmbelt whitetails. Maybe Vermont and other northern state whitetails are different.

Best bet for the OP is to collect at least one soil sample (two will be better) then visit the local seed dealer (farm service). Tests are about $10 each. Put soil in a clean bag or jar. No need to buy on line. The seed dealer should be able to ship the soil for testing. Once the sample results are provided, the seed dealer should be able to interpret the results and recommend proper fertilizer and soil pH adjustment, if necessary. Generally, it is a combination of potash and lime. Be prepared to tell dealer what you are considering to plant. Any established dealer has done this for others.