It sounds like you are looking for a Baal Teshuva Yeshiva that is very Chareidi.
I don’t know if one exists or if readers here are familiar with such.
We are familiar with Ohr Sameyach in Eretz Yisroel or in Monsey, Does anyone know is there still a Kol Yaakov in Monsey? There’s also Machon Shlomo in Eretz Yisroel, I think.
These yeshivos are not chasidishe and many of the Rabbaim’s wives will wear wigs.
The Belz yeshiva mentioned might be more relevant. Also, to gain skills you can try one of these yeshivos, and then go from there someplace you’d call “more chareidi.”
Good luck to you.