Just an observation - I don't care for bow saws much. A large "silky sugowaza" type pruning saw would be my choice if I wanted something portable to cut bigger pieces of green wood.
The standard buschcrafters choices for cutting smaller trees and branches are an axe or hatchet and / or a Bahco laplander folding saw / the orange handled Bahco 396 JT which has japanese inspired teeth and cuts faster through green wood. These folding saws will cut a ten inch branch but are too small to do that all day long.