ilovecamping, if you add a removable ridgeline to a plain gathered-end hammock the next time you set it up, you will say, "What took me so long!"
Because it's removable - NOT load bearing - you could use any small diameter non-stretch line/string. Ace Hardware has some "poly cord" or "snap cord".
For ease of attachment/removal, you could put a small S-biner on each end.
First, spend some time setting up your hammock so it's "baby bear" just right. Then, as it is set up, measure the distance between the hammock ends. That's the distance you want to duplicate. Note that you also have the hammock at your preferred height above ground, and the suspension is angled about 30° (ye old "Make a gun with your thumb raised and index finger extended." The suspension should touch the top of your thumb and the tip of your index finger.) You are not looking for absolute precision. You can use the Angle read-out on your smartphone app, etc., if you want.
So you size the cord length with S-biners so it just reaches your hammock ends.
As you hang more and more, you will be able to "eyeball" tree distances. "That pair will work." With your ridgeline on the hammock, attach your suspension to the trees and adjust until the ridgeline limits the hammock's end-to-end distance. Then you remove the ridgeline cord (or detach just one end and roll it up if you want to keep it with the hammock). Wa La - you've achieved your ideal sag. Again.
Why removable? That ridgeline, for some people, can be annoying. As they get in/out of the hammock, or just sit in the hammock, the ridgeline might brush against their head. Or they just know that it's there - like a little brother who taunts, "I'm not touching you," with his finger 1/64th of an inch away.
Be sure to read the post about removable vs structural ridgelines. The light gear (mini-S-biners) and cord I've mentioned here are not designed to do the job of a permanently attached AmSteel (LashIt or ZingIt) ridgeline.