My go-to broad-head is a good, heavy, stoutly built single bevel.
Pretty much all my game taken with my longbows have been with wooden shafts and Grizzly 235 or 185 grain single bevels.
Cannot comment on deer, haven't taken any with them because we are not allowed to hunt them with a bow in my State (but man would I'd love to) but on everything else (taken in other States where it is legal) like Water Buffalo, Wild Pigs, Wild Goats, Feral Cats and Rabbits, I've got only great things to say about single bevel broad-heads.
For me, I don't find them hard at all to get really scary sharp, they're easy to mount up dead straight and true, they fly absolutely superbly, and they hit spot on where I'm looking, right in there with my field points and blunts, and they are seriously tough too.
I've found they give excellent penetration on buffalo, and needless to say, penetration on the other critters I mentioned is most certainly more than just enough. Blood trails have been good too.
In the past I've used a few Tusker Delta double bevel broad-heads, with no complaints either, good Aussie made broad-head. But I felt the Grizzly's were more stoutly built and were available in heavier weights, so they were my choice for Buffalo.
I was so impressed with how well they preformed, that I've stayed with them.
As you can see, I'm very confident with the single bevel, and being confident is a good thing, but people with vastly more hunting experience than I, have had great results with good double bevel heads, they have (and quite rightfully too) heaps of confidence in them also.
I suppose then, in the end, there's no right or wrong choice here. So use which-ever one you feel gives you confidence. Just make sure it is well built, properly sharp, flys true, and do your utmost to put it where it will do the most good (or bad)
I would still be happy to use the wide double bevel head on anything on my list above other than Buffalo though, but I've got a good supply of single bevel Grizzly's, and for now, that's what's going on my heavy wooden arrows for everything.
Best
Lex