Single phase VSDs can be had fairly cheaply and are also a viable alternative to a motor starter. My experience with them is limited but controlling speed remotely shouldn't be hard if you've got a graphical PLC frontend. In fact if you have the right control program you could even control it using feedback from a temp probe i.e. it will throttle flow to achieve a target temp through a chiller. With minimal head in a system like this a centrifugal pump will control well.
I think most of these have a diac-triac setup which needs a potentiometer/resistance adjustment over AC which may be hard with a controller. I believe DIAC's typically have a 30-35V bias before it will let current through to the TRIAC which will then conduct AC through the motor. The potentiometer takes voltage off the supply line to sense voltage, and depending on how the potentiometer is set it will either conduct through the triac almost straight away in the wave, or needs to get right up to the peak - so it will essentially either conduct a nearly full wave at a full potentiometer setting, or the back half of each half wave when the pot is set to zero. This is basically a 2:1 turndown.
An elaborate solution...
The potentiometer and diac are essentially the sensing part of the circuit. Given there's a PLC, on the sensing line you could use a bridge rectifier then a voltage divider network and with the resistor closest to supply ~4700R, then the tap off, then a 140R resistor to ground. This should scale -340V...+340V to 0...10V and will always be positive due to the bridge rectifier.
You can then use a compare block with this input compared (GEQ) to your controller output (reversed, so 100% is ~0V compare value and 0% is 7-10V), which then goes to a 5V digital output to the gate of a triac. You would need an RC snubber on the sensing line to the AI of the controller and around the triac.
This basically gives you 2:1 control which should be useful during heating - I think you want a lot of circulation here - and sparging, transfer etc can be a lower speed. You need to consider your snubber circuits as you'll get some switching noise, but it's apparently a fairly good way to control a pump.
Or a simple solution...
Is using an SSR. I think nearly all of them will only switch in half-wave chunks at the zero crossing point to avoid noise/arcing etc. Certainly the OMRON ones do but I'm sure they all do. If you consider there are 100 half waves in a second, that's still pretty good for control - and it provides isolation of 240V from your controller. You really just need to make sure your 'window' for the time proportional pulses is not less than 2 seconds, otherwise smaller outputs may not trigger the SSR at all. You can then have a 40-50% setting and a 100% setting based on what you're doing at the time.
Having done the recirculation from a kettle before, with a false bottom and a mesh screen, it's challenging to maintain flow - the screen will very quickly block. I considered a multi-screen (slightly sloped off vertical) box design to slow the flow down and settle out hops/trub but I couldn't be bothered in the end. I'm a bit skeptical about the Y-strainer unless it's a 2-3" version...