A pair of E3610A handled all my power supply needs for years. There are a variety of models in this line. The E3610A/11A/12A do have adjustable current limiting and differ only in maximum output voltage. Their meters use 7107 A/D converters and the resolution is limited to 0.01 for amps and volts, at least for the E3610A model.
These are pretty good power supplies, but not perfect, and are no longer made, so would have to be purchased used. I would avoid the earlier HP versions as there were some issues which were fixed later. Probably any new enough to have the red/black/green binding posts instead of the red/red/black will be okay.