Yes, you can easily do it.
Use a 2 pole 0.75kw compact frame motor and an Inverter-Drive of decent makes and your top speed limit will give you plenty of range, I have a 2 pole 0.75kw compact frame motor which runs at 7000 rpm on my benchtop mill, I used it to replace a DC motor/controller which wouldn't give me a usable 1000rpm to 7000rpm.
Motor £150 new, Inverter Drive £100 NOS from eBay.
Regards,
Nick