It sounds like another plugin or theme may be loading its scripts in BPS Pro plugin pages and breaking things. Do these troubleshooting steps:
Reinstall BPS Pro using the BPS Pro built-in Upload Zip installer (not the WordPress Upload Zip installer) to eliminate that the BPS Pro installation is bad/corrupted/not complete. Go to the BPS Pro Setup main menu >>> Upload Zip Install page and reinstall the zip file. This installation method replaces all BPS Pro plugin files and does not change any of your BPS Pro settings.
Deactivate all of your other plugins or deactivate your other plugins one by one and check the Maintenance Mode page to see if the problem is being caused by another plugin. If the problem is being caused by another plugin post the name of the plugin that is causing the problem.
If after deactivating all of your plugins the problem is still occurring then temporarily switch your theme to one of the WordPress Themes: 2015, 2014, etc and test.