Hey there. I know your problem. I tore both my calf muscles 6 years ago, and sometimes they still are tight.
You doctor says you haven't torn your muscle, I think you did. It might be a minor tear, but it is a tear.
When your calves are very tight, take it easy. Be very careful, listen to that pain and dont fight through it. In other words cut back on the intensity or call it quits for running or jumping that day.
If you do give your calf a twing or a ping, then stop training. And wait a few days. Warm up the calf very slowly, do not use stretches as warm ups. Do calf raises, and slowly work the muscle to prepare it for running or jumping. If the muscle feels iffy, warp it up or use a neoprene knee brace, and wrap that around your calf. Keep it warm.
I use to be able to get in the seated leg press machine and bounce 300lbs on one calf muscle. I could do ten calf raises that way. Now, because I fought through the pain and did not follow good sense, my calf muscles look strong, but they could tear easily once again.
Lastly, if you have torn the muscle, the last thing you should be doing is stretching the muscle. If your calf is tight, rest it. If you can not rest it, warm up the muscle slowly. Do not stretch it. When the muscle is normal, and there is no pain, then of course stretch if for keeping or increasing the range of motion.
Good luck