Wait, which TTL signal is being sent down the stepper phase wires or near them? Unless you are in fact running encoder or limit signal wires along with the stepper leads, there is little to consider. If the stepper leads aren't twisted and shielded there will be noise, so make sure any signal wires are twisted and shielded. In an industrial application the motor would have a connector built into the case and proper shielded grounded cables. Any noise from the steppers and leads would be fed into the stepper drive and it should be designed to handle it unless it's so bad voltage induced in the motor wires exceeds the voltage limit of the drive, and it's already designed to handle that. BTW, the motor iron should contain virtually all of the flux from it's coils. If it does not, it's junk. At full current, the most it should pick up is a paperclip.
It seems the regulated switching power supply is the easy answer. Add some (a lot) capacitance if it's not rated for such duty. I'm really surprised that 10 years down the road of homebuilt CNC the power supply question still comes up. If you want to cobble one together the linear supply is easy, but if you're buying anyway what's the difference?