Perhaps you already found the syringes, but I recently got them at Walmart. ReliOn Insulin Syringes, 31 gauge, 5/16 inch needle. 100 syringes (a box of 10 paks of 10 syringes each) for $13 and some odd cents. They did not require a prescription, and I don't get my insulin there.
I had originally been getting these syringes from Walgreens (100 for about $17) but after three trips there, being promised each time that they were "on order," I finally gave up on Walgreens.
Margaret