There is a real wide range of neck knives from which to choose, if you count all the handmade and manufactured knives. A good many are under $100, many under $50. In future, if you'll forgive me, when you ask such a question, try to add as much detail as you can in terms of how you see yourself using the knife you're inquiring about. It really helps folks focus their answers on what you need, instead of ranging all over the place -- like I'm so prone to do.
Given the two you mention, it appears you like the idea of an index finger hole. There is no doubt that such a design offers greater retention in a self defense situation, than virtually any other design. If you are perceiving the knife to be a last-ditch, self defense blade, probably even a backup upon which to rely when your primary piece has gotten out of the picture, then I think the blade steel is probably unimportant.
If "printing" thru your shirt is a concern, I believe the Bearclaw is a bit thicker. If not, and the steel doesn't matter, then for sure, I'd save the money and go with the Bearclaw. If you have the money, the real Fred Perrin neck knives don't have a hawkbill blade. Rather they're essentially flat on the edge. This would be much more utilitarian than the hawkbill, IMO.
If you perceive that your neck knife will be used fairly frequently in a utilitarian sort of way, then the scope of available knives really opens up. If budget constraints are there, I'd try to hang on until the CRKT collaboration with Kit Carson on his F4 hit the stores. It will have AUS6 steel, which isn't the best, but it is quite stainless, and sharpens easily -- which you might be doing fairly frequently. As mentioned by someone else, in the same price range, is the Camillus ArcLite. I have that one, and like it. I keep forgetting to wrap the handle and/or to sand off the edges of the handle and the lightening holes. But, I like it's handle better than the very popular CRKT Stiff KISS.
I'm real partial to my REKAT Fang. They have been discontinued, I believe, but have been sold on the sales forums reasonably often. It is the necker I carry most.
The original F4 by Kit Carson, I believe sells for $135. I flat like his designs a lot. He has a unique ability to make knives that "work", IMO.
If you're going to look more widely, I'd check out the Fallkniven WM-1. It is just a great little knife.
Okay, I'll quit. Too many for 10 posts to cover, I'd say. Good luck choosing.