Hard to find a therapist I can trust with more severe topics

I’m currently in the process of finding a new therapist after a year of no therapy. It’s been hard because I loved my last therapist but then I had to move and stopped going abruptly. So it feels like no therapist will be as good. I’ve had two consultations so far and they were not great. I’ve been struggling with depression and suicidal ideation so obviously that’s why I’m seeking therapy in the first place. My issue is it seems a lot of therapists are not really able to deal with such heavy topics. I don’t want to assume they can’t but I’m also not willing to put such personal information out there to someone I don’t know if I can trust. What are some red flags for a therapist?

As an example...

Again, I know that I’m judging before really getting to know them but I had a therapist talk a lot about mindfulness. Which is great but I don’t want to be meditating in session as I feel that wouldn’t be helpful at all. Another therapist I came to and I felt like she was constantly trying to convince me that my struggles were non-issues. For example, I’d say “I’m really struggling with finding a full time job” and she’d say “you’re young. You’ll figure it out. It’ll be fine”. While I could see that being encouraging I’m not looking to be cheered up I’m looking to help fix my long-standing mental blocks that cause the struggle. Not to fix the effect of the struggle. In both those situations I just don’t feel comfortable bringing up more dark things.

I know it to be true that many therapists don’t work with more severe clients but I’m wondering how I find the ones that do. What questions can I ask and what things do I look for in a bio, for example?

Could you ask questions in manner similar to how you'd interview a candidate for a job?

Examples-

-What is your treatment approach?
-Describe a good session with a client (outside of using names/details)
-Describe a challenging situation involving a client with complex issues and how you resolved it

I don't like talk of "mindfulness" either, so don't get me wrong, but mindfulness and meditation aren't the same thing - unless you're specifically doing a mindfulness meditation (but that's a specific type of meditation).

P.S. I don't have any personal experience with it, but maybe ACT would be suitable for you since you aren't looking for superficial cheering up.

Both of those would be red flags for me, even though my current awesome T does do relaxation and meditation with clients. He actually recently told me he did not feel that those would be appropriate right now given my heavy struggles. Therapist pull the “don’t worry be happy” crap with me at this point and I literally just up and walk out, they can send a bill if they want paid. I spent three months actively looking for my current T after three years of passive looking. What helped me the most was taking an honest inventory of the traits of the most healing people that have been a part of my life (friends, teachers, clergy, therapists, authors... anyone).
I had looked at current T before but wasn’t too keen on his favorite types of therapy (a lot of group crap and experiential), he was a man and I am not too comfortable with men in general, he works and lives in a higher income kinda stuck up area, he was too damn happy in the picture... just no, nah, nope and YUCK! But... after I wrote down stuff about all the really influential healers and support people in my life I was brought full circle back to him and knew I couldn’t call anyone else. It took me a month to email him and I could not call to save my life... but... he is TOTALLY awesome with me.
I knew I was in the right place when he did things like stand a little farther away when coming to the waiting room but then read my body language and approached to shake my hand. He let me know he never wanted me to feel pressured to tell him anything before I was ready and still asked some deep questions and never shied away from anything. He asked me what I was looking for both in therapy and with a therapist and was honest (and accurate) about his areas of strength and weaknesses in being what I needed.

Red flags I should have picked up on with previous therapists that didn’t work out...
Reassuring/comforting me without understanding the issue and not allowing space to work on it rather than just comfort.
Not being clear about their expectations from a client, changing expectations or having low expectations.
Following what the book said you should do rather than trusting their skills/intuition and what they saw from me
Too eager to prove they knew how to work with me/someone like me.