There are too many variables in your process.
I would suggest going with basics if you didn't already do them. When you get them all sorted, tested out and sure you understand correlation and get predictable prints, then you can move to more advanced suggestions to get details dialed in. Use few more negatives with different light to be able to make comparisons.
Images with sky or pinpointed light sources will have different characteristics.
Check if you can get full black on paper exposed to room light and test your safelight.
If you don't do proper agitation or your developer is too old/weak, there won't be full black achievable.
Sometimes when I have long printing session that goes to next day, full deep black can't be achieved without replenishing developer.
Make sure to test from time to time. Otherwise, it's a moving target.
Getting separation in deep shadows and highlights is what defines masters in B&W printing.
There are 3 basic ways of controlling contrast (some others as well, but not important here):
1. Graded paper
2. Contrast filters (either fixed or with colour head)
3. Split printing
Dodging and burning can be used with both. Experimenting with combinations of 2 and 3 would help you understand how it works for you.
There is also additional hybrid approach that could be the easiest in your case.
Print on single grade. Let's say 2.5 grade works the best for your image.
Now you can use #5 filter to burn in either whole image or just enough to get deep blacks sparkle.
If you decide to burn in, you can direct your burning to areas where you want to get deeper blacks and increase contrast.
Or you can make darker test image where you get desirable midtones and highlights. From there it can be decided based on the test print how to dodge areas that are too dark.
Test strip of this should be produced so there is full understanding of what's happening in those areas.
Dry down needs to be evaluated as well for deepest shadows. It has big effect in deep shadows.
Again, you have to be sure you can get full black on exposed paper. You can also make test strip of film plus base fog to determine your black exposure. That can be helpful.