MH here, different situation.
I'm not entirely sure what your situation is- (EA/PA, how long between your A and his A)... BUT, I'm a bit of a MH too (H had EA's and I had EA/PA exit A w/ COW).
CSAT may be a good idea if your WH has long term history struggling with porn addiction or repeat visits to "professionals" in the sex work industry.
For me, IC was a literal lifesaver. My H had some IC too (after I wrote D papers and said, "your choice, IC or D" a year after my DDay w/ his escalating anger/abuse). I think IC first is a great idea for both of you. Finding an IC who deals with trauma will go a long way toward healing both your wounds.
It sounds that right now the trauma from your betrayal is still fresh- the anger phase is usually the next phase after you process just what the hell happened. If you don't get help through that (I didn't w/ my H's EA with a close friend), it can turn into poisonous resentment that will kill your soul. Ask me how I know. So, first things first, get thee to an IC with trauma experience. You've both been traumatized.
If you do look for MC, I'd recommend someone who specializes in communication strategies. We found the Imago therapy dialogues to be very helpful in our recovery. I'd say we're mostly through the recovery stage and growing through reconciliation at this point- nearly 3 years out from my A. The Imago dialogues were what helped us manage our hurts, anger, distrust and panic in the earlier days. The communication strategies did not heal in and of themselves, but they made it possible to have the difficult conversations we needed to have. Think of it as triage and a way to stop further bloodshed.
Do you feel you have the full story? Does your H examine whether it was HIS untreated anger/resentment that poisoned him into choosing his own A after yours? Was it a revenge A? It was a choice- BS's all over this site have this same betrayal done to them that YOU did to HIM... but they didn't cheat after. They CHOSE to keep their integrity instead. D/S/R are all the integrity filled choices that BS's have. I think sometimes us MH's who have the 2nd betrayal can forget that we are BS's too. That our BS/WS CHOSE, like we did, to have an A.
Either way, BS/WS, we all have holes in our character that lead us to CHOOSE an A. I wish I had written up the D papers and said, "IC and MC or D, you choose!" to my H before I had my A. We sure as hell needed it. It would have allowed me to keep my integrity- something I had given up on at that point, as survival was my only concern in my own despair over my H's repeat EA's.
Long novel to say, you're not alone. You chose your A and that's your work to do. He chose his too. That's his work to do. Before you guys can consider R seriously, you need to both heal and figure out what the hell happened in your character that allowed this to happen. Fix that, and THEN you can heal the M.
MC only for communication coaching at this point. You need the skills to stop further damage.
Certified Sex Addiction Therapists (CSAT) may not be something your situation really needs at this point.