fuel tank dents are in three groups , soft dent with no sharp creases, these will often pop out with a suction cup or a hot melt glue stud pinned on. I use these hot melt studs, no paint damage. Dent with sharp creases but enough room to work through the filler neck with pry rods. Autobody supply places make these, they are tempered like a chisel so they dont deflect. Be very careful prying against the filler cap hole as leverage, you can make another dent. And the big holes where you cut out the tank bottom so you can get inside and work the metal back to shape, make a sandbag to hammer on and work slowly. The metal stretched from the dent and you need to shrink it a bit. Its half bashing and half art.
Be careful with the dry ice/compressed air thing and any spot welding around a tank. 95% of the time its no problem, its the 5% thats hard to explain to the doctors.
For those reading this thread that haven't had coffee yet, if your fuel pump is in the tank, consider that before banging and grinding.
ex autobody guy