Oh crap that seems so awesome and I think Dante can zone better than either Vergil or Stider so I would always have options. I also think Dante has an easier time building up meter so I could just build meter and bring Dorm out to fill the screen with Stalking Flares and then bring in Dante to have an insane amount of mix-up options. I'll probably be asking you for Dante advice and stuff since he will be a completely new character for me, but it wont be for a while since I'm still figuring out how to zone with Hawkeye.
Dante can zone really well. Basics:
-Air Play (j.236M) is your go-to projectile, especially at normal jump height.
-Hysteric (236H) is used for mixups, not just zoning. Call assist + hysteric, then teleport into mixup, for example.
-Acid Rain (236L~L) is primarily used on incoming characters for a full screen mixup, but the way I use it from fullscreen is in-between assists and other moves to cover Dante. Even if the opponent somehow penetrates my defense, they get clipped by the Acid Rain if they press a button. Pretty cool.
-In Devil Trigger mode, Dante gains access to the best beam in the game (j.236S) + a flight mode (214S; air OK). Devil Trigger's beam + Hidden Missiles is one of the dirtiest things I've seen in the game. The opponent is pretty much at Dante's mercy when all that's going on. Really hard to get in on, and if they somehow manage to do that, you can just do Vortex (j.623S) which is fully invincible and fullscreen, then do j.S after it hits and get a full combo.
Other notable moves that have some zoning purposes:
-Crystal (236M): Basically a move that you'll use when they're at half-screen. Huge hitbox, and comes out even if you get hit.
-Drive (236S): Probably the least useful of his projectiles, but still nice from time to time. I use it a lot more than most people, but that's because I play like a retard.
-Multi-Lock (236L) gets the "least used move from Dante's movelist" award as far as I know. Grants free teleport mixup, and a free combo on hit if you teleport into j.H. I'll need to experiment more with this to see what other uses it has.
He's a really good battery too, as you mentioned. Feel free to ask questions anytime.
Also, Hawkeye's zoning = press H for GDLK arrows.