Ask HN: How do I find a job like this?

I currently work for a large company as a senior engineer. It's a large .com, so many of the technical problems are somewhat interesting. Optimizing queries etc. However that work alone doesn't really seem to fulfill me. In my past, working for a startup, I had the opportunity to be closer to the business. I was in a position that allowed me to see business problems (not just technical) and propose tecnical or non-technical solutions to it. Thus far in my 10 year career, this has been the most enjoyable time i've spent working. No other job has felt as "fulfilling" as this time.

I want that again, but I haven't been able to find it. It seems like as I've grown the only jobs recruiters seem to send me are jobs where i'm only allowed to analyze technical problems. When I've explained to recuriters what I want, they never seem to get back in contact.

How do I find a job where I'm a "problem solver" and not a "code monkey".