Hello John,
Photo engravers often required deep etches especially for embossing plates used by bookbinders working with leather.
Eric Chambers in his book Camera and Process Work, still available, describes the process well,
Briefly – you require a hard "paint roller" say 1/2" diameter beverage tube on a metal core, wide enough to span the smallest dimension of your name plate.
A piece of plate glass with a very thin coating of letterpress ink on it.
Roll your paint roller in several directions on the glass until it also has a very thin uniform coating of ink.
Some bitumen dust similar to what is used in lazer printers, a tray for it and a very soft brush.
A hot plate, to fuse the bitumen dust.
Then after the first etch of your nameplate, say 0.003" deep, wash and dry the plate with hot air. Roll the plate with letterpress ink, sprinkle it with bitumen powder, gently brush the powder in four directions against the sides of the etching, brush off any loose powder. Put the nameplate on the hot plate and fuse the bitumen. Return the plate to the etching bath and go another 0.005" deep. Roll-up again, powder, fuse and etch, repeating until you have your reguired depth.
The flanks of the lettering and lines will have a smooth outward curve without under cutting.
Regards John