Maybe you could make dodging also reload your gun? If that makes dodging too powerful and you can't balance it, it should be ok to give reloading a separate button so the player won't end up reloading when they wanted to do something else. Slightly more complicated controls are perfectly fine, since the alternative is more frustrating controls that won't always do what the player wants. You could also try TF2-style automatic reloading, but I'm not sure how well that would work for this game.
I've been mucking around today and found that linking dashing to reloading just made me dash constantly whereas the dash will likely have timers associated or triggers so that limits it. Assigning it to 'C' seemed to make the most sense given the finger used for firing can't be used while reloading anyway. Will let you know when it's up :)