Watch the String Skipping: Level 3 online guitar lesson by Chris Buono from Guitar Gym: String Skipping
Level 3 Skipping Strings Workout #1 features a favored compositional technique called (among other titles) pedal points. Simply put, one note acts a point of axis while you play a melody against it. If you're an Eric Johnson fan, you'll recognize this approach immediately. You're going to start out with a single skip from the pedal and progress from there within various scale ideas from the major and harmonic minor modal families.
There are a few ways to pick this workout. While I prefer a hybrid picking approach, feel free to go with straight alternate picking or combo of both - whatever works for you.