Is it reasonable to consider continuing "regular" therapy and just never work on trauma? Because I'm tired of searching. It's been an uphill battle. I'd rather pretend nothing ever happened.
What do you mean when you say "work on trauma"? Are you thinking of needing to talk through all the details, reappraise your sense of what it meant to you, do body work, explore cognitive distortions? There are lots of ways to work on trauma but i sense you have a clear picture in your mind of what that might mean.
My reason for asking is that, for me, working on trauma hasn't looked like EMDR, CBT or any of the more manualised, evidence based therapies for PTSD - it's been very much old fashioned, relationship based, non-psychodynamic therapy. Don't get me wrong, we've explored trauma, worked on emotional regulation and safety and my symptoms have massively reduced. I don't have DID but dissociation is definitely an issue for me. It's been very painful work at times - it has just been much less structured and more client led than would be the norm.
If your current therapist is working for you, the relationship is good, they seem to understand DID and you're seeing progress it may be worth hanging in there for a while and talking to them about what you want to work on. Especially if you're waiting to go to a specialist facility anyway. If you have a clear idea of the kind of work you'd like to do and they can't do it then yes, best to move and search for someone who practices the modality you want to try.
Otherwise when interviewing therapists ask them about their experience of working with your issues, avoid people who want to respond to the diagnosis or label (i.e. Those who's eyes light up when you talk about DID), look for someone that is interested in you and how DID impacts you.
While people might advertise as a trauma therapist there are lots of different types of trauma - having lots of experience of car accidents, health trauma and sudden death is fine but it's different to working with someone who has experience of chronic developmental trauma, or combat, or vicarious trauma so do ask them what they're used to working with.