Anyway...
I'm unsure if your pulling off from the 7th fret to the 4th fret(high E)or picking each note(alternate or otherwise)but here a suggestion either way...
since your hitting the 5th fret B string and the open high E is the same note heres what I would do...
E---7-4-0-0-7-4-0-0-----------------
B-----------------------------------
G-----------------------------------
D-----------------------------------
A-----------------------------------
E-----------------------------------
excetera...
You can alternate pick that or pull off...your choice.
Sounds the same(because it essentialy is)
I might have misunderstood the question/problem.
If you need dexterty and accuracy in you pinky then I'd say learn the end lead lick from "bark at the moon"(ozzy).
Later!
Try once,fail twice...
