Smooth Movement on Geometry Collission?

Alright I was wondering how to achieve this, Basically what I want to do is smooth player movement, essentially predicting the direction they want to go as they collide with geometry, effectively offsetting them and preventing them from getting 'stuck' on the mesh.

Here's a badly drawn description of my problem :

What i'm thinking is, rotate the destination vector3 and move to the first spot that does not detect a collision?