Hi,
Thanks for letting us know. If you figure out a solution, we would be happy to examine it for potential integration into the code base. This approach is very popular and we welcome code contributions that benefit users
Alternatively, if you are not a developer, you can consider our paid wordpress development service. Have our developers take a look at the issue and find a potential fix. Not only does this help other users but it also makes this integration problem a priority.
Ultimately, although we do not officially support the conflicting plugin, we try to design our products to integrate easily with others. Our entire javascript architecture is currently being reviewed. You may see the issue resolve itself over the coming month, as we continue to evolve BePro Listings. Until then, one short term solution would be using the plugin with the ajax features turned off.
Regards,