You are fine with a 12+ foot 7 weight, and I second the guidance to fight a good fish hard and get them back to swimming as fast as possible. Many anglers fish the Bulkley with a lot less and do fine. If you were headed to another river I might give you different counsel. PM me if you want a (not secret) spot or two. The float is very pleasant but also not necessary (you can certainly get less pressure that way but there are a lot of sleds), you can easily fill a day with a rental car or even walk the river. If you want to float, there are also some (a few) stretches where you need to be able to row competently, and they can change based on the most recent flood or water level, so getting local advice is good.