Tips for following up with a potential employer in PE?

Long story short I lucked out and had the opportunity to meet with a partner of a local PE firm a few months back. It went pretty well, he seemed to like me enough and told me to reach out in September to see if their hiring needs had changed.

Between my initial meeting 4 months ago and last week I took my CAIA level 1 exam to get a bit more experience in the area and I'm currently awaiting results (I'm a data analyst at a software company now, 1 year out of undergrad, so PE would be a huge leap and I need all the help I can get).

I reached out 2 weeks ago and said I hoped everything was going well with him, mentioned I was preparing for the CAIA exam per his recommendation, and asked if he was available to meet over coffee within the next few weeks to catch up. Unfortunately, I haven't heard back. Based on Linkedin he's been pretty busy with conferences and deals so I didn't want to pester him too much.

Any tips for following up on my follow-up? I'm afraid of sabotaging my chances especially since my completely non-traditional background may make another opportunity like this damn near impossible.