If you are careful enough, you can probably fix them without any paint work!
I do lots of custom metalwork, including shopped tops, and fabricating panels, lead work, etc.
SInce the affected area is stretched, you need to shrink the area down. Using a metal hammer on metal dolly may cause more problems. I would put a flat, or very low crown dolly (sanded very smooth! if using old tools) under each ding. Then use a wood or hard plastic mallet to slowly tap them down.
If you have a helper, have him hold the dolly, and you can even use a regular ball pein hammer, with a teflon rod to target them even more accurately. Go slow and inspect often.