Steve welcome, is a nasa/asa car stock bodied or special bodied like nascar? if stock bodied, then it is possible if not, then a minor miracle unless you would run time only.
You could run at several of the mile pavement events, but the salt and dirt don't have classes for cars not based in a production car unless you do special construction... lakester or streamliner.
As suggested order a rule book and read it until the print falls off.