we had an idea to create a simple customized long sleeved tee shirt with our name on it and wanted to sell it online, and have it shipped directly to the alumni.
We do this for our school's spirit wear with a local marketing promotions store that prints t-shirts, etc., and sells other marketing collateral--lanyards, mugs, etc. Right now, our online store only includes t-shirts, sweatshirts, polo shirts and sweatpants. But, we are looking to expand it to include hats and lanyards. The local store set up the website for us, so it was pretty easy. They collect all the money and do all the delivery, unless people opt to have it delivered to school (on a once per month schedule). There must be someone up there in NY who can do that for you.
If not, and if you just want clothing items, try Land's End--you can have your logo applied to just about anything they sell, and they will give you a percentage of the sale. (Check out the "business outfitters" section.)