Airborne allergies are a year round thing. When the weather is warm, you've got a myriad of trees, grasses, and weeds. There's no let up, even when nothing is obviously pollinating.

Diagnosing allergies is complex, I wouldn't pretend to be able to do it online. Best to check with your doctor or see a specialist. But the puffy, itchy eyes sounds like garden variety allergies to me.

If you want to try something over the counter, pick up some generic Loratadine. It takes a week or so to build up in your system, though so don't judge it after one or two pills. Benedryl is also used by some.