I agree. this time of year it's all food, food, food.
Now if south enough, there is ample food and pulling them away from real hens to your hens is the game plan. but you describe what alot of us are going thru, a late spring and tough hunting.
in my part of WI, we still have 1' of snow at least, in most places. If your area is still cold with occasianal snow, find the food. A south facing oak ridge or a south facing ag field will draw them in for sure. If it is that cold, there are no bugs and no new growth shoots for them to feed on. Find whatever leftovers from fall you can and they will eventually be there too.
now, send me post and show me where my turkeys are