Three "factories" in the US load low pressure cartridges that I have shot or would shoot in my three Damascus barreled guns without hesitation - RST, Polywad Vintagers and New Era. All three are true low pressure cartridges and are appropriate for use in Damascus barrels that are in shootable condition. They are loaded specifically for our old guns, not modern semi-autos. Discuss the condition of your barrels with a gunsmith knowledgable about Damascus barrels.
As a practical matter I prefer reloading my own low pressure cartridges and have sent each of my recipes to Tom Armbrust for pressure and velocity testing.