On Dubmac's point the pump has definitely been refurbished since '66, although not necessarily by the original manufacturer. Typically, there will be an additional nameplate on the casing of the shop that performed the work. That being said, it could have been restored to OEM spec or updated to current API. I realize it's originally an API pump, but API 610 has changed quite a bit since '66. Also, performance characteristics may have been changed during refurb, such as destaging or trim changes. Even if it hasn't been modified, internal erosion of the casing over time can affect pump curves, so your curve/IOM is almost certainly not accurate.
Minimum flow is indeed established for vibration, not temperature, although it is true that the additional energy put into the pump that is not transferred into flow or vibration will turn into heat. In the case of a suction restriction, the concern is cavitation. A discharge restriction yields suction/discharge recirculation. Both cause an increase in vibration.
Typically, vibration is at it's lowest at BEP. Your best bet is to throttle the discharge while monitoring vibration to determine BEP, then throttle down until vibration reaches an unacceptable level, add a buffer (5-10%), and call that your min flow. Otherwise, you can contact a pump manufacturer with a test facility and have them test the pump and produce a curve for you. Best PumpWorks has a test facility in Tyler, TX and Shreveport, LA that has this capability.
If temperature is the concern, an RTD on the discharge with a hard set point is a poor choice, as there are too many variables which can affect it, such as temperature of the product itself or ambient temperature. You would need one on the suction as well in order to detect temperature rise via SCADA.
For equipment protection, vibration monitoring is going to be your best and most versatile bet. Install a couple of transducers, run them to your PLC, set your alarm/ESD at .20 IPS, and it will definitely trip in a dead head/cavitation situation. Additionally, you're then protected from bearing failures, shaft shears, and mechanical imbalances due to buildup in impeller vanes, as well as being able to perform condition monitoring and logging data so that root cause analyses are easier to perform .
Just my .02.