I understand that you are wanting to collect water for use during a dry summer.
What you are describing sounds like you also want to get the water off your driveway.
Every spring the snow melt runs along the surrounding ditches and much of it accumulates on one side of our driveway before over-topping it and continuing (we can't put in a culvert...long story).
I believe that is why the previous owner dug that ditch.
Like Scott suggested a pocket pond might be what you are looking for.
Here is a thread about building a pocket pond and the results:
https://permies.com/t/120095/Invincible-Garden#983169
This thread also sounds like something that you are wanting to do. The very last picture on this thread they are calling a U-bend and is something like might work, please read the whole threads though:
https://permies.com/t/165409/Puddle-dirt-lane-move-side#1298688
I also agree with John that a topo map would be really helpful.