the solutions you have outlined are really only a band aid. you are not solving the real problem, which is the inability of the soil in your MHC to absorb that water.
Here is a quote from The Non-toxic Farming Handbook"A one inch rain supplies 28,000 gallons of water per acre. If a field with a 1% humus receives a one inch rain, it can easily become super saturated and erode. Soils with 6% humus levels will hold an excess of two inches of water… Thus a two inch rain on a 6% humus field will readily be absorbed and held with a minimum of erosion"
Lesson; fix the soil in your MHC with better practices of cutting grass, shrubs, putting in flower beds, etc- which will make your MHC more appealing and save you money.