My personal opinion from limited experience, is to hunt later rather than earlier. The plus side of hunting early are the number of better bucks that haven't been shot or hunted yet. The plus sides of a late hunt are that they generally gather up in larger groups, there aren't near as many hunters, and the animals, at least where i have hunted them, had calmed way down, were far less spooky.
I last hunted late lopes year before last and was able to take a heavy 80" lope in a zone that is not too hard to draw but had plenty of decent animals on public land. To me, the advantages of hunting later far outweigh the early hunt, better chance at a big trophy opportunity.
Joey
"It's all about knowing what your firearms practical limitations are and combining that with your own personal limitations!"