I hate the bounty for killing the spider queen. That stupid spider cavern is the worst. Is there any way you can get through it faster, or predict where things are going to be?
I'm glad you asked! Yes, this is one of the most predictable areas in the game.
Here's a map of this area, marked up with useful information:
Firstly, look at each section that is circled. These all have 4 exits, which face upleft, upright, downleft, and downright. There are always exactly 6 of these areas in the map, and they always spawn in the same pattern. There is a single one at the entrance, then a 2x2 set of them, and then another single one by the exit.
Each possible exit you would want to check to find the correct path is marked with a check mark, and each exit that is guaranteed to be a dead end is marked with an X.
When you first enter, go either upright or downleft to find the first bridge. From here, you will be in the 2x2 area, where you want to check all the upleft and downright exits. This is the slowest part of the cavern, but by skipping known dead ends you can still significantly cut your time off here. Once you find the windy path, you'll know you're in the right place. As soon as you cross that path, the exit is always upright from that area.
Try it out. Enjoy the spider caverns. They're one of my favorite areas in the game because I have figured out the pattern.