There is two models for trumpet the new one and the older model I have the newer one, it is smaller and you can store it in your bell and it should still fit in your case. Ive heard the older one is just as good.
Whenever I use it, 9/10 times I'm just using the mute and not with the system or headphones. So look into other mutes as well that do the same job, but are cheaper without all the electronics. Wallace makes a good one and ive heard the trumcor is really good.