How long is the leadscrew? You say smallish...assuming a 2' long screw of 1/2-10tpi it will need to be supported both ends in a simple bearing, that gives a critical speed of 2700rpm which is above the 1500rpm you need (to avoid whipping).
To overcome the inertia of that screw which is the primary load and achieve a reasonable acceleration to maintain accurate cuts you'll need 32W of motor power, which is roughly 0.2Nm or 28oz-in of torque at that speed (which equates to 5000 full-steps a second)
looking at a typical 3Nm motor, eg SY60STH88-3008BF, you can easily achieve this torque at 5000pps using 4.3A and 40V, so 3,5A and 40V drivers should do the trick. For this very high pulse rate you want the lowest inductance motor you can find (the one suggested is 3.2mH which is good, 2.5mH would be better).
The problem with gearing down as suggested is increased inertia... gearing down is fine for rapids but you need the acceleration at that speed for accurate cutting. Really you want to look at a higher pitch screw, say 4tpi, but that will need a bigger diameter screw (therefore more inertia, bigger motor), or a much better option is a multi-start leadscrew. A 4 start screw would improve things by a factor of 4.
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