How can I lock a character to always be the same orientation as a given part?

This question may be a bit odd.

I am currently working on a zero gravity space game and have found a way to make gravity in selected areas (like stations and ships) by putting a BodyForce in the player's torso that activates when the player's character enters the ship or station. This method has worked great so far but a problem arises when the ship/station's floor is oriented at any angle besides 90 degrees on the y axis. The way I designed the script makes the player always go down relative to the workspace (-y) and allows them to walk on the ceiling of the ship if it is upside down.

Are their any good methods to keep the player oriented with a given part? and if so, can a have a BodyForce change the gravity so the that part is the gravitational "floor"?

Please ask me to clarify if you don't fully understand something in my question.

EDIT 1: Here is an Imgur album that should clear up what I am trying to do.