Because I play fingerstyle melodies I really like playing with an open G and/or C string intermittently and covering them to add a different dynamic.
I could figure out the actual chords, but I'll just give my shapes that I like to throw in...
C chord... stuff like 0-0-3-7, 0-4-3-3, 0-0-3-3, 0-0-8-7
G... 0-2-3-5, 0-7-7-10, probably not G, but 0-2-3-0 (D variant?) and 0-0-3-2
D... 0-2-2-0, 0-2-2-5, 0-6-5-5
F... 2-0-1-3, 0-0-1-0, probably not F, but it works for some things 0-5-5-7
Am... 0-4-5-3
I just start with a chord and work the melody, see if the range works and then improvise from closed chords when needed for whatever effect. It does make things easy.
John