Instead of sandblasting have it either bead blasted (its softer than the sand, and will leave less dimples, although there still will be a lot of dimples making you do more primer work) Alternatively you can also do soda blasting as cinky said, from what ive heard you can get a whole car done for about $1200 and it can even go over the chrome mouldings and not damage them (but you would be taking these out for a good job)
Once its all done make sure they etch prime it so it doesnt start to surface rust