I ran almost exactly that engine in a 1970 Dart, a .040 over 360 out of a 1975 Dart Sport, stock heads and stroke, stock electronic ignition, backed by a 727 and 3.23 geared 8.75 rear with a Tru Trac differential, only changes were an Air Gap intake and 750 cfm Performer carb, TTi headers, and welded in subframe connectors. Car would run 13.80s all day long on drag radials, 14.0 on Cooper Cobra street tires, through 3 inch exhaust. I expect it could have been a little quicker with a well built 904 transmission. Car was 100% steel, with a full bucket and console interior, rear seat, spare and jack bolted in place, and usually 3/4 of a tank of fuel.
That class sounds like it would be a lot of fun to run in.