I am not so emotional about it, but I won't be very upset if it becomes an action. But! In that case - throw action becomes far superior, because it would do the same thing as shove but better (for an action). So what do you think about these alternative solutions:
1. Make shove an action but implement it properly with the prone effect. That way a successful shove results in advantage for your companions as well and can compete with throw.
2. Keep shove as a BA but halve, or even quarter the distance of the push - so that it can be a "chance to disengage" on a BA 1v1 for non-rogue classes.
