I'd need a sketch to see the shape you are wanting to achieve. But,24 gauge is quite thin,and no trouble to make a sharp bend in it. You can anneal just the areas where you intend to bend,if the strip is too ungainly to get all at once. Unless you groosely over heat the silver,you won't damage the surface by just the heat alone. BUT,your silver is very THIN. So,it could suddenly just melt. Probably better to just NOT ANNEAL. It really isn't necessary as thin as your silver is.
If I wanted to bend a strip,I have a SMOOTH JAWED machinist's vise properly mounted so that the jaws are situated beyond the edge of the bench. I can put a long strip in one place at a time. Letting it hang down to the floor,and take a gentle curve to lay along the floor. BE CAREFUL TO NOT KINK the silver. Bend the silver and whack it down snugly against the crisp edges of the smooth jaws with a piece of hard wood. Use a mallet. Don't try hitting the silver itself with a mallet as silver is soft enough to DENT. And yours is too thin to file the dents out of. Be careful that the hard wood doesn't dent the silver. If you anneal the silver,it will be so soft that it can be dented pretty easily.
Sheet metal equipment is fine,but sometimes the equipment may have damaged surfaces,so unless the surfaces that will come into contact with the silver are completely SMOOTH,and not dented,has no burrs in it,or anything that can dent your silver,I'd stay away from it. This being said,I have even worked pewter in a slip roll,but made sure the rollers were in excellent shape before doing so.
Many ordinary drill press vises are smooth jawed,and you can buy a new one pretty cheaply. You could just feed the silver out of the SIDE of a smooth jawed drill press vise,and bend it snuggly with a hardwood block to finish the job of getting a clean,sharp bend. You will not be able to get absolutely SHARP outer bends,but your silver is so thin,it will look quite sharply bent anyway.
BE ABSOLUTELY sure that the silver strip is laid down firmly against the bottom of the vise. If you don't get the bend dead square across the width of the strip,it will bend off at an angle that you likely will not be able to correct easily.
I advise you to NOT ATTEMPT to bend the silver with just flat nose pliers. I don't know your skill level. It would be too easy to not quite bend the silver dead square across the strip at 90º. AT LEAST,buy a smooth jawed drill press vise which DOES NOT have a "V" groove in the jaws where you will be attempting the bend. You don't want a V groove under the silver when you are trying to bend it. As narrow as your strip is,even if there s a horizontal V groove in the vise's jaw,your silver will rest below that V groove,provided you don't buy a really small vise.