Gark the Goblin |
11 levels in fighter (archer archetype) will get you trick shot with ranged bull rush.
SorrySleeping |
If you are okay with third party stuff, Path of War Expanded (by DreamScarred Press, they did Psionics and are among the most likely readily accepted third party stuff), there is something called Tempest Gale and Solar Wind Discipline.
It is like spellcasting, but for martial classes. They have a lot of ranged stuff that uses combat maneuvers, including ranged Bullrush (pushing people).