At that build volume I think you need to expand your budget slightly. The Prusa MK4S is on a deep discount right now but is just short of those numbers you listed.

Even the Core One just barely misses.

Prusa XL hits your target but is twice your budget.

Also honestly build volume can be a little overrated unless you're printing helmets. You can make things in smaller parts. More build volume brings with it more print issues you have to deal with. But also yeah look at a Voron maybe or the SV08.

If you're new to printing, start smaller anyway. If you've done machining you know there's a materials learning curve and the same thing applies here to the nth degree. Print material, volume, orientation, density, first-layer adhesion, temperature, etc all are things you will have to account for and will affect your print quality/strength. You want to learn about these things in smaller prints that waste less time and material rather than more/larger.

E.g., get the MK4S Kit.