I don't remember the exact name of what I was using but a few years ago when I had a similar problem my optometrist had me using a night-time drop that was more of an ointment. It would dry out by morning and didn't interfere with my contact lenses. (I replace mine monthly but I do not wear them to bed). Bottom line, check with your eye Dr. to see if he/she can suggest something appropriate for you.

+1 on Blink for during the day.