I wouldn't recommend powder coat for that use - although we PC'd the front face panel of our VW Westfalia stove (as it was originally, & stove top is SS), but that's a different use that the full stove top & oven door, etc.
If you mean baked on porcelain enamel as in the original finish, then that's what I'd recommend doing. If you mean ceramic coating like done on classic car & hot rod exhausts - then no, that won't give you the right non-porous, smooth & shiny finish of your original stove.
Take it to Carolina's for a proper re-porcelain enamel it to last, as she's local SoCal. They can also redo other appliances' porcelain enamel too, such as fridge, range hood, etc. at the same time - if you want them to all color match as new.
She used to have a small satellite shop here in Old Towne Orange, but I don't know if it's still there, so call them.
And unless it's running properly at all burners & oven, she can also restore/refurbish/repair all of the workings - but make sure to tell them that it's for Propane & not natural gas, so they know which jets, etc. to use.
They've done a lot of the Old Towne Orange antique home appliances, as well as a lot of Vintage Trailer people's appliances.
Also, if you're not already registered for the upcoming Newport Dunes Vintage Trailer Rally, swing on by on Saturday 10-2 9/28 for the public open house to see trailers, meet restorers & vendors, get ideas, have fun & free hot dogs for all comers courtesy of our buddy "Der Weinerschnitzel Dennis".
We'll be across the drive aisle from Dennis with either our 1960
Avion T20 or 1970 Eriba Puck (probably the latter) & either with our blue VW Westfalia van - can't miss us.
PS - All of the other respondents above are from out of state, & probably don't have access to someone like Carolina, so take advantage of what we have locally here in SoCal.