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I do not know of a coach, but two resources I would encourage you to check out are:

1. Silicon Valley Product Group Blog: They are thought leaders in the field and have a very strong opinion on how product management SHOULD be done. I do not agree with everything they recommend, but they are a great resource to help get up to speed with product management. https://www.svpg.com/articles/

2. Northwestern Kellogg Product Strategy Online Course: While expensive, this is an excellent and rigorous resource for learning product management basics. https://www.kellogg.northwestern.edu/executive-education/ind...

I know this isn't quite what you were looking for, but I hope these are some useful resources to get you started. I'd love to hear what you ultimately end up doing and whether you found it valuable or not.