Can you use a gerber file and a pcb printer to make a stencil?
We use to make folded tin-plated brass EMI shields etched from a local PCB shop and made the etch double sided so holes were on both sides and folds on 1 side so it etched only half way thru. Any shop that can do 10 mil track and gap etching ought to be able to make a small panels worth with a setup cost.  Pads may need a butterfly shape for better deposits of paste. I don’t recall the details.  We also made artwork files to be printed to film from lithographic printers for $50 30 yrs ago then etch them in house with heat and agitation flow of acid.  There are also local,laser printing shops in Toronto with very sharp &lt;0.1mil features flow thru acid etch that may be cheaper than the screen printer shops (IDK) and they give really high resolution and clean edges.
Better to go shopping for SS laser cut or forced acid etch screens. I might still have a card laying around that looks like a Remington steel electric screen business card with Art Deco.