I did some experimenting with this. My posts (about rivers) should be around somewhere. In short, I connected the original heightfield to a lake object (temporarily exchange the water shader for a purple surface shader), and played with the height. To slightly 'even' the terrain, put another compute terrain between them and set the patch size to 40 or 60, or check smooth terrain. Now if you carve your river into the original, after the line to the lake(!), the lake should be visible in the carved out river. With a little more experimenting maybe that's what you're after?
---Dune