Accrington made 117-7 when their match at Church was abandoned before the home side had replied in the JWL Bitter Group game.
Professional Jurie Snyman top scored with 40 in Accrington's 117-7.
Snyman hit four fours and a six.
He added 29 with fellow opener Jon Hayhurst (13), 25 for the 3rd wicket with Emile Haratbar (12) and 33 for the 4th wicket with Yousuf Ali (16).
Mohammed Tayyib also hit 15 with Church professional Zain Abbas taking 2-16.