Border collies do make great frisbee dogs, but they require lots of exercise and attention or they get a little weird. Border collies are "scary smart" dogs and very high energy when young so if you don't keep them occupied they can be destructive too. It mostly depends on how much time you are willing to devote to the dog.

Some breeds chew more than others, and individual dogs within a breed can vary quite a bit in how much chewing they do. My dog only destroyed a few things when he was young and seems pretty happy to chew on his many toys. I had a friend that had two puppies that destroyed his entire couch in less than an hour. So IMO it is impossible to say if the dog may chew on the bike. The hooks idea is probably the best.

As far as riding with your dog, it just depends on the dog. As farrellcollie mentioned, some dogs just don't like it. Just try to be very aware of how the dog is doing. Some dogs will keep going as long as their "pack" is going, to the point of endangering their health. It is a lot easier to ride for an hour than to run for an hour. I would like to ride with my dog, but around here there aren't too many safe places to do it. He likes people so much that he is likely to pull me off the bike in an effort to get to a new person that may pet him.

Dogs take a lot of work, but are very rewarding. My dog makes me laugh every day.