In a recent discussion of cost estimates of hypothetical space elevators it was mentioned that a space elevator is (obviously) well suited to bring payloads to a geosynchronous orbit while reaching other orbits would still need major delta v. This restriction in easily available orbits is a major disadvantage of space elevators; it is not very well suited to serve the huge market of low Earth orbits.
But we are outside the atmosphere and have as much time as the payload permits; we can use high-efficiency, low-mass, low-thrust drives like ion propulsion. Such systems are already routinely used for orbital transfers of payloads launched by chemical rockets.
Would low Earth orbits, at various inclinations, be within reach of non-chemical propulsion for spacecraft released from a space elevator (probably from half-way up)?