What sort of roles can I jump to given my experience?

I'm an AVP in asset management at a sub-$1B aum GP (West coast market). I've been in this position for about 2 yrs and prior to that I was a financial analyst at a boutique brokerage for a year. I have a lot of responsibility right now hence the title, but I also only have 3 years of experience, much of that at a small, no name GP.

I realize it's time for me to leave my company (various reasons) but I don't know what kind of roles would be realistic for me to land/are available in this current market. I'd love to jump to the LP side at a pension fund or similar but that probably takes more institutional experience/advanced degrees, neither of which I have. Moving to a more institutional/larger GP might be a better move but even that seems like a leap for where I'm at, and I think even an associate role there would be difficult for me to get; I'm also late 20's so I don't think they'll want me in a senior analyst position either. And finally I don't think joining a similarly small GP would do much for my career advancement - I might as well stay where I am.

I'm just trying to figure out where I should be honing my job search efforts. I'm willing to take steps down to even property manager roles (though only at an institutional level firm like CBRE) just to get more experience and shoot from a different angle. I'd love to get my feet wet on the debt side (debt AM is maybe my best shot), but I don't think equity AM experience would be all that transferable or desirable, and I frankly have almost no experience working in debt. I'd be open to advanced degrees (MSRE, CFA 1 or 2, MBA) if they would meaningfully open doors for me, but I would need to have zero other options right now for upward progression for me to seriously consider.

Do y'all have any advice or just general wisdom for me?