How well do you compartmentalize, & What in the work can serve as ropes and helping your healing, instead of hinderance?
As in, I would not think it is a bad idea on itself, but then, may be a lot about what things give you and take out of you, which would be individual scales. ((Or, basically: If the work itself can serve AS therapeutic, full of coping mechanisms and stimulating you / the useful to you kind of stress, I would squeeze what you can out of it.))
Though you mention a complete shut off of your feelings? I would be darn careful getting them back on, /while/ you work. (But you may do tons of therapy still on other aspects that are not as feeling heavy, or do not require you completely throw yourself to that, I would think.)
In every case, I would think of someone seriously familiar with the lifestyle and issues / that will help you forward, instead of endanger you (and yours). Someone who will keep you going, instead of throw you.
((As to that other question, yeah, but it was not specifically trauma therapy. It was more an event processing of what I was stuck on, at the time. Destuck and go. Take the feelings out on something else, and the rumination on ruminating on something useful. Basically had people who were alright with aiming me at what I needed be, instead of render me nonfunctional.))