I wear contacts and very rarely have issues with eyes drying out. My sunglasses wrap around and keep most of the wind out, couldn't ride without 'em!

Addias makes a prescription sunglass made specifically for riding. One of the guys we rode with in RAGBRAI had a pair, and I saw several others with them on the ride. He really liked them (was not a contact wearer), only downfall when you're inside unless you have your regular glasses with you, you're stuck wearing shades indoors.

He got them at his local optometrist.

Good luck!