I remedied the lack of an underhood light by adding this '90s GMC/Chevy light.
The bulb part is on about a 15 foot cord, will reach all the way to the rear wheels if needed and has a magnetic base :
Here's one for 30 bucks if you are interested :
https://www.ebay.com/itm/60S-70S-80S....c100677.m4598