After dabbling with/playing the Moscow for several years, I'm also coming around to the view that White should just go 3 d4. As trendy and a decent weapon 3 Bb5+ might be among the elite, at least for me, it really isn't terribly inspiring.
Incidentally, against someone I knew would be likely to play 3...Nd7, I might be inclined to opt for the Moscow. It just seems like an odd choice for a hard-core Sicilian player, as after 4 c3 (and perhaps also 4 0-0, but Black has those weird ...g5 things to avoid it), play is very Spanish-y. Incidentally, my last tournament game against 3...Nd7 was against a player who normally plays 1 e4 e5, so that made a lot of sense to me
(I lost that game pretty badly).
The Rossolimo, on the other hand, I like a lot for White. After 2...e6, I kind of feel like White should also be going 3 d4, but there's a few alternatives that seem relatively appealing. I used to play 3 d3; I got some decent positions with it, but eventually everyone started going ...Nc6/...g6 with Black, when I didn't really see anything I liked for White. 3 g3 on the other hand, if you like playing against an IQP, seems like quite a good choice (at least it seemed that way when I last looked at it). 3 b3 I've played, and it's interesting, even if not better for White. Meanwhile, 3 c3, I actually like quite a lot - the lines with ...e6, while solid, somehow feel less "intrusive", I guess, than the stuff with ...Nf6-d5-b6/...Nc6/...d6 and ...d5/...Qxd5/...Nf6/...Bg4.