I'm not sure about coins, but Northwest Territorial Mint just shipped a 100oz bar to me last night. I ordered it on April 15. I have seen other sites with faster turnaround times, however I like Northwest's buyback policy.
my 10 oz bars had about a two week shipping delay (did a few orders over the last few months)
I don't relate getting finished products slowly, to a shortage of the metal itself. Products and miners have agreements, the supply pipeline for most all commodities is set in advance, it doesn't just ramp up quickly when people want more coins.