The same basics apply whether you shoot right, or left handed. When I had shoulder surgery I face the same problem. The biggest issue was dealing being right eye dominant, and right hand dominant. With most pistol shooting, I could still use my right eye, but of course, that wouldn't work with rifle. So, I figured out why not try and train myself to be as completely left handed as possible.
Here are a few of the things that helped me...although many are basic, and you probably already know them, I found that I had to be extra conscious of doing things correctly.
1. Go really slow and do things correctly so you build the CORRECT muscle memory. If you start out fast and do it wrong, you will only learn to do it wrong faster.
2. Don't work on the easy stuff too much. Work on it just long enough so you can move on to more difficult drills. Work on the harder stuff like weak side reloads, malfunction clearing, one handed shooting, clearing malfunctions, one handed shooting, barricade work, shooting from the ground and rising, shooting while getting to cover, and so on.
3. Regardless of which drill you do, concentrate on doing it slowly and perfectly. Speed will happen in it's own time. Building CORRECT muscle memory is more important than speed.
4. Keep in mind that when under great stress, you do NOT "rise to the occasion", rather you default to the lowest level of your training. The point here is to train to do things correctly, no matter how darned difficult it is. Keep doing the exercises/drills CORRECTLY. Once muscle memory is drilled into your unconscious mind, the drills will feel easier. You won't need to concentrate on them the same way you used to, because your unconscious mind will help.