... which is what I said in the post above....in metric that works out to be about 3.1L/kg, 2.6L/kg and 4.1L/kg.
What do you mean here?Fill MLT with water 52L
...
Add Grain
Recirculate at 67.8C for 30 min
You seem to be suggesting that the water in the MT is pumped directly into the HLT where it is heated and then circulated back to the MT (no heat exchange pipes inside the HLT, simply pump from 1 vessel to the other)?
If that is true, the water/grain ratio inside the MT will be much lower than the 3.5L/kg and it might not be enough to cover the grain bed (depends on geometry etc), somewhere in the order of 15L in the mash and 15L in the HLT which is not going to work well.
Another concern could be localized heating of the wort around the element (especially since you are not using a PID, so the element is either 'on' (full power) or 'off') which means you could caramelize the wort and/or denature the enzymes because the temp around the element will be higher than the mash temp.
... which will take about an hour if you only have 1x 2200W element, during which time your grain bed will be dry and the wort in the kettle likely boiling for 1/2 hour.add/fill HLT with sparg water 30l(tap water).
Heat sparg water to temp 75C
No, because about 24L of water will be retained in the spent grain, you'll need to sparge again (for a total of about 40L).then pump sparg water to kettle
kettle should be about 66lt, heat and boil.
So you're going to be waiting for 40mins each time you want to boil up 20L of water (with only 1 2200W element).
As I said above, insulate the MT well, and forget the mash recirculation stuff (at least for now) - you are making things much more complex than they need to be.
Try the system and if you 'only' have a 1-2deg temp drop over the 1 hour mash, its all fine (and works for many many brewers here on the forums) and much much easier than what you seem to be proposing.
That way you can heat the water for your first sparge while mashing, and the second sparge while the first batch sparge is happening (which means a bit of a delay but not too much), however having a HLT that is at least 50L would make your life much easier.