That motor is going to be too big. You probably don't want to use a brushless motor because then you'll have to use an ESC which just adds weight. I was figuring something closer to this https://www.amazon.com/dp/B01M0XOOS5/ref=cm_sw_r_apan_glt_i_GYVCR101KRSBH6ZAGFBH

You could probably run it directly off a small 2s or 3s battery, maybe around 500mah. 3s on a full charge might be too high a voltage though. You might even get away with just hooking up a few 9 volt batteries in parallel and using a switch to turn things on and off.

LiPo batteries are kinda a fire hazard when not treated properly and letting one run till it's completely empty can actually kill the battery for good. That's where some sort of cut off is usually built into the esc to prevent running them flat. Only problem there is if you do end up using an ESC you have to figure out a way to trick it into putting out a fixed throttle which may involve more complex circuitry (and weight).