I always recommend getting the PowerA Emhanced Wireless Pro Controller and some micro usb rechargeable AA batteries. The controller doesn’t have rumble, but it’s not super necessary in this game. It DOES have gyro and 2 extra programmable buttons which I use for Booyah and This Way so I can communicate as I’m moving around. But you could also set them to be the triggers to make using items like Inkbrushes easier to use.

There's also these.

Only 81% the power density compared to the batteries that OP mentioned (2250mWh vs 2775mWh), but similar low weight and they each have a micro usb port for charging.