What’s this incentive program you speak of? I usually wait until the last day of the application period to apply to save interest charges on my card.
If you're applying across the board to the tune of like 4 to 7k it most likely doesn't pay to try to win a cooler..vs saving the interest charges
Big-Game and Draw Hunts - New Mexico Department of Game & Fish
Introductory information for big-game and draw hunt applications in New Mexico: online application process (with video), reminders, hunt codes, & rejection.
www.wildlife.state.nm.us