American Gamefowl or Cubalaya would be your best bet I think. They're both human considerate and should be able to avoid the dogs and/or teach them respect
The Cubans are more friendly and the Americans are tougher
You could probably just have a rooster of either of these breeds produce mutts...
Dual-purpose and free-ranging are both very wide spectrums
My Rhode Island Reds are fat, lazy, and spend most of the day sitting around my house. They produce a ton of eggs and meat, mostly by magically changing Tractor Supply feed and scraps into human food
On the other hand I have Cubalaya...