Jack Straw
Notes:
While E mixolydian works over this whole progression, it tends to sound best if you can at least acknowledge some of the chord changes by landing on the chord tones at the right moment. In particular, I find that it is particularly effective to target the D chord that starts the progression. So your overall mode is E mixolydian, but when the D chord comes around each time, try to nail it with a note that belongs to that chord.