As mentioned above, you could carry an 84mm Victorinox Walker. It's two layers with a saw, knife, and combo tool. But it has no back tools, so there is no awl or corkscrew/phillips. You could then pair that with a set of small pliers.
I would not suggest the Cobra XS for outdoors because it corrodes pretty easily, which is a little strange for something that's designed to be able to grip around pipes. You'll need to be diligent about keeping it dry. It's a good plier though. I have several of them. One thing about them is that the teeth are super aggressive and they can and will destroy nuts and bolts if you're not careful with them.
The 91mm Victorinox Camper or Hiker models are both 3 layers. They have a primary and secondary blade, a wood saw, can opener, bottle opener, awl, and either the corkscrew or phillips driver depnding on which model you choose. You could carry one of those and pair it up with a set of small pliers.
There's also the 93mm Victorinox Farmer. It's an Alox model, so it has aluminum scales instead of the plastic. You don't get a toothpick or tweezers, and there are no back side tools, but you get an inline awl, a thicker main blade, wood saw, and the can and bottle openers which are also a bit thicker.
Sorry but there really isn't a small SAK with pliers except for the old rare and discontinued Jr. Mechanic. It was two layers with pliers, a knife, and the combo tool. It also had a back side phillips driver. No saw though.
If you really wanted it badly enough, you could either have a custom SAK built with the tools you want, or you could try building it yourself. It can be done. I'm thinking you'd want a 3 or 4 layer 91mm custom SAK with the pliers and the wood saw.
