Ok. The only limitation with LM317 based circuit is that it generates fixed current. I was not able to find high precision low TCR pots so I went for high precision low TCR fixed resistors which result in a fixed current source.Why Howland?
You'd need an amp capable of > 60 mA at a higher voltage than your required compliance voltage (which you didn't state), and lots of extra dissipation in the resistor network.
I don't think I'd go this route. What are your real requirements, and why is the 317 not working for you?