I have roughly the same desired tool list as you and have found no one tool that has everything. My current combo is a Victorinox Rucksack (discontinued) and a Leatherman PS4. From your list, the Rucksack has a blade, woodsaw, awl, and tweezers. It also has a bottle opener, can opener, toothpick, and corkscrew. The PS4 has pliers, scissors, two sizes of flat screwwdriver, and a tiny blade and tiny file (both fairly useless). On trips when I won't be making fires, I take the Leatherman and a Dermasafe blade; otherwise I take both. Eventually, I am looking at replacing the PS4 with the Style PS to get rid of the redundant and un-used tools on the PS4. The pliers, scissors, and small screwdriver are what I use most and they are on the PS. I am looking at replacing the Rucksack with an SAK from Swiss Bianco. They are limited edition runs of certain knives, including some models with just a blade, saw, and one other tool. To get an idea of what they sell, you can see their past newsletters here.
ETA: just saw your post. The Bushcrafter is one of the models Swiss Bianco sometimes offers.