Home depot or Lowe's would have one. A real tool supplier would have a good one.
5/16-14 at one time was a semi-standard tap but it's bin a number of years. Today I know of no one making or stocking such a tap other than Atlas, Prather and maybe Hightower. 5/16-18 is a standard SAE coarse thread.
Dick
They used to have it listed as a "special thread" tap in the Travers catalog,available as a 3 piece set (plug,taper,bottoming). Tommy D.
Some one borrowed mine and broke it need a new one. Dan