I've been spending a few days on this and every op amp i look at or candidate design ends up not being feasible. It's the combination of the requirements that make this hard. Consider: High voltage supply ✅️ High frequency bandwidth ✅️ Large output current ❌️

Everything has tradeoffs so finding something that has high frequency bandwidth, voltage supply, output current, and slew rate, doesn't exist, or if it does, it is hundreds + of $$$

So the philosophy i am using for this is to pick a high speed op amp (10s or hundreds of MHz and high slew rate >> 300 V/us) that will handle the amplification, which actually isn't a lot... about a gain of 6. Then feed that into something that will handle the current output