You could just add an emitter-follower onto the opamp if you wanted.
Most opamps aren't really designed as drivers. But in your application, a very simple transistor circuit is all that's needed. An emitter-follower doesn't amplify voltage, the emitter simply "follows" the base voltage. This will move the heat-generating part of the circuit to a drive transistor, and still give you that same voltage sweep from the amp. Bolt the drive transistor to a heatsink.