recommended way to make a 2d HUD in webgl

Option A is probably technically the fastest, but will bring with it a whole slew of other issues that you will need to handle manually. If you are updating text (health, ammo, etc) you'll have to come up with a text rendering routine, and those are non-trivial to say the least. If you interacting with the UI via a mouse or keyboard you'll need to handle that yourself, and the chances of you doing that robustly and efficiently enough to actually yield a better experience than the native browser widgets is slim. Point being, it's a lot of work for the potential to be a little faster.

Option B is, in my opinion, the way to go. The browser is quite good at compositing and even though there will be a perf hit because of it unless you are doing a really crazy detailed HUD I would guess that the hit will be negligible compared to other parts of your app (like JS logic). Plus this is a route that should "magically" get better as time goes on and Browsers become more efficient at what they do. IMO the biggest downside here is that you may encounter some rendering bugs if you're using some of the latest and greatest CSS effects to style your HUD the way you want it, but again that should go away as time goes on.

Option C is, to my knowledge, not possible within a single canvas. You could have a separate 2D canvas layered over your 3D one and draw your HUD to it, but at that point you're inheriting all of the problems of A and B with none of the benefits. I can see no good reason to recommend it.

I think one of the big advantages WebGL has over many native 3D platforms is that it has trivial access to one of the most widely used and most flexible UI frameworks on the planet (HTML). Ignoring that advantage is going to be a colossal effort with very little tangible benefit. Use the tools that are available to you, and don't concern yourself too much over lost milliseconds because of it. I promise you that there are much larger issues that you'll be facing while working on your game and your time and effort would be far better spent there than trying to reinvent this particular wheel.