Watch the Other Right Hand Techniques online guitar lesson by Gary Hoey from Blues Rock Reactor
When using your right hand, try using your fingers alongside the pick to explore all the things you can do with it. You can do this while you're hitting a chord, playing them as if you're playing a piano instead of just strumming them. This allows you to hit all the notes at the same time instead of in sequence. You can also use your fingers for picking a pattern alongside the pick. Your middle finger is highly useful for getting more attack when playing something that demands it, such as country or blues. To practice this hybrid approach, practice hitting one note with the pick and the next one with your finger, working your way through the pentatonic scale.
Sometimes I even go without the pick - I curl it up in my hand and play with my thumb, index, and middle fingers. This is a great technique to slow down your phrasing as well. Playing without a pick is a great segue into playing slide guitar, also using your right hand to mute.