I've heard of other folks going to a 2 fletch arrow, but I do everything I can to tune a bareshaft to fly true, and this year I am going to a 4 fletch arrow for hunting.
Tuning field points is easy for me but I like to shoot big and wide broadheads so the potential for them to plane off course is a very likely situation when the conditions exist for that. In theory, a 4 fletch arrow will be able to control it a little better, that's the theory at least. I am as frugal as most but I am going to splurge a little this year and 'waste' one additional feather per arrow. <note the sarcasm>
If I did worry about my broadhead planing in the wind I would go back to my WW broadheads because I have them on hand. I am thinking about the biggest 2 blade I can find.
I am going to hunt exclusively with my recurve this season which means I will likely do some broadhead tuning with the planing method vs just grouping broadhead tipped arrows with the mechanicals I used with my compound.