As for the first line you mentioned, I think that White has a very slight advantage as besides having a lead in developement and more space, Blacks bishops are doomed to pretty lousy squares (e7 and b7). As for your second line, this is pretty similar to the main line but it deserves further investigation.

I also, put on Fritz and 10 ... Nb4 definately looks strongest.

Here's my analysis on the position

1.e4 c5 2.Nf3 e6 3.d4 cxd4 4.Nxd4 Nc6 5.Nc3 Nf6 6.Nxc6 bxc6 7.e5 Nd5 8.Ne4 Qc7 9.f4 Qb6 10.Qf3 Nb4 11.Qc3 Bb7 [11...Ba6?! 12.Bxa6 Nxa6 13.Be3 Bb4 (13...Qc7 14.a3±) 14.Bxb6 Bxc3+ 15.Nxc3 axb6 16.a3 White has a slight advantage] 12.Nd6+ [12.a3? Qd4 13.Qxd4 (13.Bd3? Nxd3+ 14.cxd3 c5 15.Qxd4 cxd4 16.b4 d6 17.exd6 Rd8 18.Bb2 Bxd6 19.Bxd4 Bxb4+ 20.axb4 Rxd4 21.Rxa7 Rxb4 Black has a slight advantage) 13...Nxc2+ 14.Kd1 Nxd4 Black has a slight advantage] 12...Bxd6 13.exd6 Qd4 14.Qxd4 Nxc2+ 15.Kd1 Nxd4 16.Be3 c5 [16...Nf5 17.Bc5² White has the advantage as Black can't make the freeing move, c5] 17.Rc1 Bd5 [17...Nf5? 18.Bxc5± White is in a good formation for a kingside attack and he can put pressure on the d7 pawn with his light squared bishop.; 17...Rc8? 18.Bxd4 cxd4 19.Rxc8+ Bxc8 20.Bd3± White has an attack coming] 18.Bxd4 cxd4 19.b3= White has a slight pull.

[19.Rc7? Bxa2 20.Bb5 0–0 21.Rxd7 Rfd8 22.Rxd8+ Rxd8 23.d7 f6 Black has an extra pawn and the White pawn can't promote because of the weak a8 h1 diagonal. For example, 24.Ke2 Bd5 25.Kf2 Kf7 26.Rc1 Bb7 27.Rc7 Black is definately winning but it is hard to convert the advantage.] 

Also, another noteworthy alternative is 10 ... Qe2 protecting the c2 pawn.

This isn't necessarily an improvement, but how about 10. Qf3?

Any views on this line?  It has particular relevance to White players wishing to avoid the Sveshnikov, as well as to Black players seeking to avoid the 3.Bb5 lines, and the slightly dull 7.Nd5 line of the Sveshi.

There is some coverage by Fed on the main Chess Pub site (it is in the Paulsen/Taimanov e-book - obviously it can be reached via a number of move orders including the Taimanov).  It all looks pretty sharp - I am slightly suspicious of White's king sitting on e2, especially when he has yet to develop the Bf1! - and a lot of the games there were played three or four years ago.  Any advances?

I seem to remember a couple of games with Radjabov on the black side recently, but can't track them down at the momentas am on my work PC (my databases are on my laptop).