The correct torque for a 3/8 – 24 UNF bolt, according to Hobson Engineering website, would be 30 lb ft.
Although this might depend upon the grade of material of the bolt. Presumably this figure is for high tensile bolts.
If you are worried about security, you could always tighten to less, having treated the threads with an anaerobic thread locker.
An anaerobic should function quite well with a gap of 0.003", which is probably less than you have.
Howard