Does the calculation starting from page 129 of this note by Casalbuoni is of any help to you? As far as I have understood question, it may help you out.
Also, Critical properties of $\phi^4$ theories by Hagen Kleinert is the most extensive reference for $\phi^4$ theory that I know of. Not widely known, at least in my experience, is a treasure trove for higher-order loop calculations, finding symmetry factor etc. Highly recommended for non-trivial details which are not easy to find elsewhere.