Thats exactly what I was meaning. Those bulbs can get hot which is why I suggested pulling the whole dome light housing so you have something to hold on to.

If you want to get fancy the GM/Chevy trucks from 88-98 had a roll up light under the hood, you open the hood and pull it out and it sticks on the fender via magnet. Then when your done changing your tire you turn a little crank to wind it back up. Its a popular part that a lot of people buy and hook up in newer years and other vehicles.