I don't have any personal experience with making a podcast, but if it's helpful, one of my very favorite podcasters Kristen Meinzer JUST came out with a book called "So You Want to Start a Podcast." Knowing her, I'm guessing it's outstanding and may have a lot of the info you're looking for. https://www.amazon.com/You-Want-Start-Podcast-Community-ebook/dp/B07KG9Y1CG
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Yes, you can absolutely make individuals admins of a group without them being admins of the connected page. There doesn't need to be overlap between admins of the group and the page, with the exception of the person who links the two things together. You should be good to go here!