You can draw too many tags in one year. It has been a few years, but I drew moose tags in three different states, and premium elk tags in two other states all in the same year. I know, feel sorry for me, but it was a great year! Just borrow some money and time and go hunt. I didn't make the most of some of the tags as a result, and shot a smaller moose than I probably would have in one state at least, had I had more time to hunt. But I had some great hunts, took some great and some average animals, and overall had a blast. Very high stress, but still fun.
Someday I may have the same problem again.... fingers crossed!