Deloitte Tech Consulting to Strategy Consulting

Hello! I need some advice on how to switch from Deloitte's tech consulting federal practice to their S&O practice. I have a bunch of reasons for wanting to switch, but the primary reason being that I don't think the functional work in the technology space is interesting. From what I understand now, it's not going to be easy to switch internally to the S&O practice, but I was hoping some people could provide me guidance. People say the best way to achieve that is to have a partner that backs you, but 1) rolling off my project has been very difficult and 2) although i'm aggressively speaking to people at work, I'm not guaranteed to get onto a project.

I was also wondering how i could make the switch to PwC/ Strategy&. Is applying online a viable way to get an interview? What about finding connections given that I currently have none? I spoke to two people who worked/ work at PwC and they never followed up with the things they said they would, so I'm looking for another avenue.

Also- what are peoples thoughts on transitioning from Deloitte to BAH? Is there a lack of name recognition or would I be fine (given that I actually enjoyed the work).

I also don't want to get stuck in federal forever and I heard the exit opportunities coming out of the commercial space are way better.

Any advice whatsoever would be greatly appreciated!