If you want to play the best odds, you can use your bow during early rifle season in areas that don't allow gunpowder. For example, some locations near housing are great spots with lots of blacktails but too close to use firearms. There I'd set up a tree stand and rattle in a buck. Works great, I have done exactly that. But you'll have to do some legwork to find private or public land that closely adjoins private land. Tree farms are good too if you stick to the fringe between clear cut and timber line.
Check the regs for firearms restriction zones.