Reverse slope driveway with drainage issues
We have a short (20 ft) steep driveway on a lot where the house and carport are below the street grade. There's a 3" drain near the house. We've had no drainage problems for 12 years (provided I remember to keep the drain free of leaves) but this year we've had a lot of heavy rain and had a couple close calls where water almost came under the door in downpours because the drain was inadequate or plugged up very quickly.
I know we need to do something, but don't know who to call. I want it done properly and with ample capacity. Is this something any driveway/concrete contractor can deal with? Do we need a specialist. I'm thinking we need a deep gutter with heavy grates that would extend right across the driveway width. Are there some other drainage ideas. Can this be done by sawing the existing concrete and adding the gutter?