I would go for the F-II myself, since it IS my main speedcube.
I can't argue with akuma though. It is pretty slippery, so you best be careful and make sure all sides are aligned when solving.
the sticker part...
I've had both the new and old F-IIs. The stickers were worse on the older version, but it didn't fade that badly. I used it for 3 months... I think. The newer version had great stickers, and did NOT fade when I solved. I had the stickers on for about a month. The only reason why I replaced the stickers was because it peeled. I loved the colours of the stickers, though.
The YJ 3x3 is not a bad cube at all, by any means. Regardless of knock-off or not, all cubes should be judged on their performance, and not whether they were based on a different cube. The only reason why I dislike the YJ 3x3 is because of the lockups.
I wouldn't go for the Alpha/Type A cubes if you like very smooth cubes. In my experience, the Type A cubes have a very "rough" feeling, very different from smooth.
The C4Y locks up if you don't tension it properly, but since I don't, I don't like it.
So, ... the cube I think that would best suit you is the F-II overall. Due to it being prepackaged and prelubed, and being less than 10 dollars (Can't find good cubes for less than 10 dollars now, I'm afraid D: ) I hope you do have some other lubricants, once the super-magical F-II lube wears out. I recommend Jig-A-Loo (worked well for me, but not others), Maru Lube (you don't get much for 3 dollars, but it is like liquid gold xD), or Shock-Oil for your F-II.
If you do have the money, though, I recommend getting a C4Y core. Some people have used this extremely strong core, and reported that it does not feel any different. Why I recommend it is because the core itself is very strong, and lots of people have broken their F-II cores.
So, uh, hopefully this post was of some use to you, and good luck
