This kind of lighting condition is very challenging to deal with. When it's done high-line style,like for fashion or catalog work, the photographer often uses massive fill reflectors, held by a two- or even three-person crew, and maybe also uses an overhead scrim/gazebo...major production values...pretty much impractical for a casual walk. (Think "$3,000 + in California Sunbounce gear...")
I dunno...I sometimes do not mind this kind of light handled by taking a close-up reading of the shadowed side of the faces and then letting the background just totally "blow out", to almost white. That works better I think in urban settings, where the background will be buildings, or large, man-made 'things', or even empty space; on park trails and such, the background will often be like it is here--deciduous trees with tons of leaves...
On the opposite end is shooting it "dark"; pegging the highlights properly, but leaving the faces very,very dark, and then in post, applying a lot of digital fill light...that can actually work on the newest, and best sensors....but on older cameras....not a good idea.
If you were to use flash with a d-slr, you'd need high speed synch to handle the brightness of the background, OR otherwise you're stuck using 1/200 second at ISO 100 at f/13-ish....so then the depth of field is deep and the leaves are distracting... HSS (high speed synch in Canon-speak AUTO FP synch in NIkon's language) are a decent option--that is, IF you want to use fill flash, and if you want to make the background DARKER, by "crushing daylight", you could shoot at like f/4.5 at 1/6000 second and make the background appear pretty dark...so dark in fact that you COULD mistake the shot for all-natural lighting...mostly.
Overall though, I think the way you shot this and processed this worked out. again, this kind of wooded, dappled lighting scenario is almost always very tricky to deal with.