Does anyone know how to access Drafts from an older Mac running Sierra?

What kind of advice? There’s no workaround to use Drafts. Drafts never existed for Sierra, so there’s not an old version around anywhere that would run.

The current shipping version requires 10.13 (High Sierra), but the coming release will require 10.15 (Catalina).

You can export things from Drafts to text files on your other devices to iCloud Drive or other location that would be available to this Mac, but that’s about the limit.