Paintless dent repair as far as the dings is your best bet..... I can assure you that welding on studs and then using a slide hammer will leave you having paint/body repair to be done which will get waaaay more expensive than $250. Going inside the door with a ball pein will also yield dents from the inside out, if your going to hammer from the inside out make sure and use a dolly.
Dont take offense but it sounds like any self made repairs by yourself are going to result in further damage based on your initial explanation of how you intend to do them.... take it somewhere and have it done right, if your anal enough to let door dings upset you then welding or hammering on it I can assure you will lead to further damage.
Good Luck and sorry to hear about the mishap
