If the rest of the house is insulated to same standard as walls and floor you will not need heating in upstairs bedrooms, except maybe on-suites.
i'm sure the farmer would not notice a coil chucked in
- a coil would not make any significant contribution, generally extracting heat from small fixed bodies of water is not advised, it just makes them freeze up.
50m trench for the pumped water treatment plant so could put and run of pipe in that trench but must not freeze the pipe.
- dig down to a GSHP loop in Jan/Feb and you will find it encased in ice, so no, keep it around 2 metres away to be safe, apply a similar distance from any foundations (frost heave)
Solar thermal for summer hot water would be a long term option too
- if you pick a GSHP with a 60/65C flow capability you will not need solar thermal
5kw output in one room and AGA in kitchen will, even seperately, produce local overheating without careful ventilation