Change facing of particles

Is it somehow possible to let particles face somewhere else then to the camera?

What I would like to do is to let my GPU particles remain a orientation. They should just face away from the direction they fly to and when they then collide (with stop) they would actually sit on the surface and not keep orientating to the player.

I tried locking the axis with “Lock Axis” but that is then the world axis and not the local axis of the emitter. When I try to use “local space” in the Required settings the particles don’t collide anymore.

Is there any chance to do this, maybe some hack in the particle material?