I've been wondering how to appropriately say the phrase "My fellow members" lately and I've come up with the phrase 「僕の仲間のメンバーたち」but I feel like there's a more appropriate word for it.
Is there a more appropriate word for "fellow" than 「仲間」?
English fellow has multiple meanings and it's impossible to give a catch-all term. For reference, here's what ALC says:
You can use 同僚 when it's close to "colleague", 同期(生) when the sameness of social status or generation is important, 同級生 for this sense, and 仲間 for this sense. If it refers to teammates of an in-company sport team, 仲間 or チームメイト should work. When in doubt, you can always say 同じチームの人, 同じ会社の人 or such. 仲間のメンバー is awkward because it sounds like "fellows who are also members (of another group)" or "members of (a group called) Nakama".
That depends on the context. It's hard to answer your question without knowing what kind of group your fellow members belong to. One thing I can say now is that 僕の仲間のメンバーたち is a quite awkward phrase because 仲間 and メンバー share a similar meaning.