As someone who sells flow meters (both Micro Motion and Rosemount) on the industrial scale, I can tell you that the $65 dollar flow meter you are looking at on Amazon is going to be wildly inaccurate. They don't even have the courage to state it's accuracy online. Granted, you don't need a meter that will have amazing accuracy (like 0.1% or 0.25% of rate, which is what I sell) but you'll want something fairly accurate. Unfortunately in the instrument world, you get what you pay for. And I would think you are going to want something fairly accurate especially if you aren't going to be around while it heats up.
Another thing to watch out for is what outputs your flow meter has. You will need something that your PLC/DCS is capable of taking as an input. Whether it is frequency/pulses, milliamp, or digital.