I've finally been able to get the world to stop crashing while loading chunks. One of the crashes gave me coordinates (see below) and with WorldEdit using the //distr command it was able to tell me that Sky Stone blocks were around there. So, I disabled meteorites (which is what Sky Stone is used for) in the applied energistics config file and re-loaded the same seed without those meteorites.
I'm not sure if it was clashing with another generation mod or why meteorites were the problem but I'm glad I have a workaround. I'll probably submit something to AE to see if they can see what's going on.
Example message related to coordinates for documentation purposes:
[20Nov2020 21:39:59.208] [Worker-Main-9/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:39:59.225] [Worker-Main-9/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:39:59.235] [Worker-Main-19/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:39:59.954] [Worker-Main-9/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:39:59.963] [Worker-Main-9/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:39:59.984] [Worker-Main-13/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:40:00.661] [Worker-Main-10/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:40:00.682] [Worker-Main-10/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:40:00.704] [Worker-Main-10/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:40:01.508] [Worker-Main-8/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:40:01.527] [Worker-Main-8/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:40:01.542] [Worker-Main-9/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:40:02.121] [Worker-Main-8/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:40:02.134] [Worker-Main-8/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}
[20Nov2020 21:40:02.146] [Worker-Main-8/WARN] [net.minecraft.world.gen.WorldGenRegion/]: Tried to access a block entity before it was created. BlockPos{x=-190, y=56, z=-384}