You can buy a gun license and hunt with your bow if you want, switch back to gun if you get frustrated.
From what I remember, you can hunt longer on a bow license than with a gun license--at least I think that's why I got bow licenses last year when couldn't hunt much in any one of the early gun seasons--don't have as many active brain cells as I used to, and no Turkey
Regulations at hand to look it up. As a result, if allowed "mixed" licenses there's probably a way to "beat the system".
At the least, people like me would get a bow license for the first 3 seasons (bow will allow hunting in all 3), and then gun in the fourth. Wanted to do that last year, same as you do. Suppose that would put more hunters in the field, reduce quality of hunt with more people tripping over eachother. Can't really think of any harvest concerns for the current rules, at least. Still two birds max/hunter, and bow/gun would be far less likely to take two than gun/gun.