Doing multiple takes is generally the best way to add depth and fullness without sounding stale.

You can double a single take (by copying to another track), but a more effective 'double' approach may be to simply ReAmp multiple times, ideally modifying the preset before each reamp take (because I think if you don't make any changes between takes then the takes themselves would be identical since all processing takes place in the digital domain and I am not aware of any randomness induced by the 11r algorithms, but I could be wrong).

Also, shifting the audio on one track later by some variable miliseconds can yield good spatial results, I say variable because you would want to try different values and see what that does to the phase and depth of the mix (I would start with 30ms).

You can also use plugins on a track, I have used Waves Doubler before and had great results.