how to get rid of two red veins in the white of eye?

i am on azelestine eye drops because my eyes were very grainy a month ago. they help a lot but i notice there are red veins that will not go away and have been there a long time. does this mean they are permanent? i am wondering if i should be doing more. i take benedryl every night due to allergies with my throat/ears and sometimes nose. my husband thinks the benedryl is drying me eyes out. i dont' know of any OTC allergy pill that has an antihistamine that is not for watery eyes. my eyes are NEVER watery. any thoughts?