Belts are designed exactly for this purpose - I run a 2:1 reduction for increased turning force (I was going to say torque), on the screws. It can help to reduce the working footprint (allowing the motor to be mounted inside the existing footprint). Don't worry about belts.

Personally - standard 1605 ballscrews for me - but I'm a cheapskate (and space was a bit tight under the bed).

Sorry - should have said that AXBB is also good for Mach3/4.