The pitch does drain into the beck behind the Popular Side stand, but has the beck been dredged or the drains rodded out ?
Some problems may be self inflicted . I seem to remember the pitch used to have a slope to it, being highest at the centre spot, ie like an upturned saucer, and it was flattened a number of years ago, and the club had to try and get rid of the top soil. Plus the pitch then had a lip of about 4 - 6 inch all the way round, which it does'nt today.
The big issue might be the water table with all the new houses on the Chequers end and Wellman House car park having an detrimental effect on underground water movement.
There will be a solution, no doubt expensive, but with some retention tanks as being suggested could that lead to a saving on the water bill for when the pitch needs watering. i'm sure the board will be on with this and searching out grants to give the team the desired surface.
Failing all this, do a Cambridge and grow the grass long along the touchline to stop the ball skidding off !!