I’ve been having much the same problem. For most of the last 2 months, I can hit water in under 6” of digging, and after rains, for a day or two, the soil is completely saturated (esp. in my 2nd garden area). The water table is right at or maybe a couple inches down, those days, if I don’t have standing water. My potted plants are generally doing well, those in the ground are struggling or dying.
Since our major crop here in MA are rocks:), then drainage is not the problem. For me it is that of 4'' of rain plus a new roof and wind adding to that due to drainage onto the garden side.