To be "Best Combined Shot among Cpl’s, L/Cpl’s & Privates in a Regiment or Battalion" it has to be in a bay leaf wreath I recon. - if its post 1901
The badge shown could be "Best shot in Squadron, company or band"
The "best shot of Sgts and L/Sgts of a Regiment or Battalion" had a crown over and was in a wreath as well
thats my interpretation of
Edwards and Langley's book anyway (p36, 37, 38)
having said that descriptons and badges changed over time and it's all about as clear as mud to me, but I'm working on it.