Hi, Dave!
Although I'm no expert, I have grown several tolumnia and really love them.
The problem with simply "waiting until it's finished blooming" is that (depending on the plant) a given tolumnia may stay in bloom or rapidly re-bloom for quite a while. If you leave the spike alone after all the blooms fade, it will often split and bloom again!
If I were you, I'd watch the roots. If you're seeing lots of new root growth, or a new fan beginning, that would be a good time to look at re-potting or mounting. I'd probably take off all spikes then, even if they weren't brown and dry, just to encourage the plant to focus on root growth rather than blooming.
Good luck! These are wonderful little plants.