I love all dogs except the ones with square heads.
All the bike chasing country dogs I encounter seem to be of this variety.

On my favorite ride there is a road that Tees at a slight up hill stop sign. The road is only about a quarter mile long and I used to stop for a drink at this stop sign but then one day a group of dogs started barking behind the heavily tree lined fence across from the sign. I was with my husband the first time this happened. We started sprinting down the road from a dead stop. He impeded my progress by trying to protect me. We would have been safer with an every-man-for-himself approach.
Well, the pack of square head dogs ran just ahead of us along the fence for about an 8th mile and then just as we were overtaking them one slipped through a hole in the fence. He was hitting the pavement just as we shot past him into safety.

Now I stop at the other end of the short road, drink and reserve my energy for the coming chase. I watch for traffic as I approach the stop sign and hope I don't have to stop for a car. I roll through the stop sign, staying to the middle of the road and if I hear the dog I quickly shift and break into a sprint. It is slightly down hill so that helps. Once the chase ends I hit a nice long (for my area) descent and get a rest before a long (for my area) climb.

The dogs have never made it to the hole in the fence before me since that first encounter. It is so scary because the foliage is so thick you just get a glimpse of them here and there. It is hard to tell where they are along the fence.