I switched from the theory of Banach spaces, to fluid dynamics. I made the change after I got tenure. I am really glad that I waited until after tenure, because it had a huge negative impact on my career. I am glad I did it, because I love my new applied area. But I am also glad I waited until I had tenure and didn't have to worry so much about publish or perish.
My situation isn't quite the same as yours, so I don't really know how to advise you. But without a track record, and also without the connections that your Ph.D. adviser or other colleagues can provide, I think you are looking to go a hard way.
Continuing in your research area and waiting until you get tenure: is that an option? Also, you might be quite surprised at the extent to which your experience in pure mathematics will give you insights that are quite unique.