As a kayak fisherman, I often find myself spending 20 minutes trying to extricate my salmon and plug or spinner from my net after the catch.  My question is would a rubber or some other kind of net alleviate this problem?  If so, would be interested in a specific manufacturer.

I got tired of wasting valuable fishing time untangling lures from nylon and rubber-coated-nylon nets, and now all of my fishing nets are rubber.  A rubber net greatly reduces the time required to untangle a lure from your net.  For lake trout and salmon, I use a large deep Ego net.  See https://www.egofishing.com/products/kryptek-s2-slider/large-deep-rubber-net/ or https://www.egofishing.com/products/S1-Genesis/Kryptek-S1-Nets/kryptek-large-deep-rubber-net/. For kayak fishing, I replace the slider handle with a short handle. https://www.egofishing.com/products/handles/s1-genesis-13in-handle/.

I have a smaller Frabill rubber net that I use for trout fishing. Since I release almost all trout, it's about the most fish-friendly net for CnR fishing. Hooks still get caught in the mesh if a fish is thrashing around in it, but it's a little quicker to remove the hook compared to a nylon mesh.

My other, larger nets are either rubber-coated nylon or nylon nets. I've used rubber salmon nets before, but I don't care for the weight and their slow movement through the water (too much water resistance from the rubber mesh). My salmon/lingcod "kill net" is a nylon net, as it's lighter and more nimble moving through the water compared to rubber or rubber-coated nylon.

The rubber-coated nylon is a good all-around net. Fish-friendly for CnR, hooks aren't as difficult to remove from the mesh compared to nylon, and they're not as heavy as a rubber net. Promar makes some nice rubber-coated nylon nets, along with Beckman. Look at the weight of the nets, especially if you're looking at a large rubber-mesh net...when trying to scoop a big Chinook with one hand, the net weight can make a huge difference in your success.

I love my large rubber net when in my PB as generally one person is on the pole and one is handling the net (with two hands).   From the kayaks I prefer a rubber coated nylon which is easier to handle one handed.  I second pmmpete on the EGO Kryptek rubber net which does not have near the drag as my PB net. 

Does anybody make a rubber-coated-nylon net which resists entanglement and hooking as well as a rubber net, but which is stronger than a rubber net because of the nylon cords inside the rubber? I owned several rubber-coated-nylon nets, and hooks got twisted up in the nets, and barbed hooks also pierced the nylon and were difficult to remove. The only problem I've had with my rubber nets is that when big fish with sharp teeth get their jaw jammed into the net and they twist around, they can cut the rubber.  When that happens to a rubber net, I repair the net with strips of duct tape.  But fish probably wouldn't be able to break or cut a rubber net reinforced with nylon.