Unbelievable!
Don’t use chemicals. Hire a dozer to level the area ($150.00/hr.) Hire a tractor, probably from the same guy or he can find you one, to disc it up. Broadcast bermuda grass seed by hand. Mow it every couple of weeks.
+1000
You do not want zero growth unless you want a very differently shaped area very shortly. Rain will erode it, badly, right away. Oh, also dust, which will often enough blow back at you, etc, etc. etc. Dirt is a terrible and transient surface.
Lowest maintenance is to get some grass (ask the local grass store) that is happy with minimal care (no water!) in your region, and doesn't grow too high. Think how unruly an unmowed yard is vs probably the field of grass you are annoyed with. 18" vs 5 ft tall, right?
By "happy" we mean so good at growing that it chokes out most other plants, so you have an unruly but consistent field of grass only that tall and no taller so it's easy enough to walk through, and out of your way. If still annoying to you, a walking lane can be mowed with a normal household push mower, and you can do that when you walk downrange to shoot the first time on a day it looks like it's tall. Start it back up and double the width on the uprange walk.
If you have no big mower, pay a neighbor (in kind maybe, if you have one who wants to use the range, let livestock graze over every once in a while, or whatever) to mow it at least annually. The quickest solution is the mowing really. Most of the warm season you only need to mow about monthly to keep terrible random grasses in check.
Grass getting in the eyeline for prone or something: Raise the firing point and targets. Dead serious, most places I shoot do this even when they have staff so weekly mowers. Because it also makes them drain fast (within hours of a multi-day downpour), and nothing drains onto them so no surprise runoff mud doom.