Every guitar Ibanez makes with an Edge-type trem will also come with a fast neck (Wizard). If you say you won't use the trem that much, perhaps you should look for the prestige SA1260. Comes with an SAT-Pro non locking tremolo, so not for dive bombs but it features locking saddles so it stays in tune better than the average non-locking trem.
The neck is probably what you're looking for, comfortable but not flat and thin. I think they go for like $700. Check it out.