There are plenty of magnetic base rechargeable LED lights. That way it would be easy to take down and recharge. Pretty sure I have seen some lights that are intended to go under the rails to light the bed. You could adapt one of them.

https://www.amazon.com/dp/B085XXJ8LD?ref_=cm_sw_r_cp_ud_dp_H9A3AJKM2PP623RF300F