A blind is going to be the easiest route (I do not prefer this and have never killed one from a blind but have witnessed it plenty of times). Obviously this is easier if you have fields to hunt. Other than that, you will have to plan a little more for your bow hunt than just finding a tree to sit against with a gun when you hear a fired up bird closing the distance.
As another has said, knowing a half way pattern of the birds helps. If you go in blind you may struggle finding a spot to setup in a hurry for a shot not knowing what you have around you. Although it can certainly be done, its just tougher to do. If you scout an area prior to season you can find several areas or several "blinds" of natural brush, downed trees etc that you can plan to get to in a hurry if you have a bird responding. I hunt with a recurve so drawing for me nearly always gets the birds head up and alert however, I am also letting an arrow go much quicker than I ever could with a compound. With a compound you will want to wait for the prime time to draw, usually as they are in strut and turn away from you. Usually it will happen pretty fast from draw to shoot.
If you have a field that birds use and a blind, In my opinion, its easy peasy with that setup. But the run and "gun" style is more of a challenge for sure, but it can most definitely be done, just takes a little more planning/thought during the hunt.
Almost forgot, DECOYS are certainly your friend with a bow. You need something to keep their attention off of you as much as possible! I know a lot of guys go all out on decoys, but honestly I have killed more birds than I could count over the old foam love triangle decoy set. I have since moved up a bit to some better decoys but in all honesty, I haven't noticed any more success with the more expensive decoys than I did with a three pack that cost me $29. Spend what you can on decoys, but don't let that bother you if you don't have a $200 strutting decoy etc.
Best of luck!
