Changing to Novolog insulin will help since it gets into the system much faster, and can better match the peak of food digestion. But be careful of lows when you first switch.
Are you calculating mealtime insulin dosages based on carbs, and adjusting dosage to match the meal ? Also, many of us find that we need to wait 10-30 minutes after insulin, to begin eating. Everyone is different, so it is necessary to test BG frequently, and see when the insulin begins to work, and BG is dropping. With R, it can be up to 1 hour. For many, reducing simple carbs (processed foods, rice, breads, pasta, etc) can also help to control the post meal spike.
You may find the books Using Insulin by John Walsh, or Think Like a Pancreas by Gary Schreiner very helpful to understand how the different variables impact insulin requirements, and how to help achieve better control.