I am currently looking into this problem.
Activating Contact Form 7 allows the BPS Pro menus to display correctly. Deactivating this plugin causes the BPS Pro menus not to display and denies permission to all other plugin pages except for the options.php page. Uninstalling Contact Form 7 continues to break BPS Pro. I am about to start digging around in the coding to find the conflict. I assume the same function names or option names were used in both plugins? Will post back here with my findings. Thanks.