If the drop is steady and not up and down I'd run a 3/4" line. As the line becomes filled the natural vacuum will help significantly, far more than the line friction in the tube. The same with your garden hose, if it was just going down hill from the source it will flow great. 40+ years ago I lived where I could only have a garden down a hill, about 500" away and with a drop of about 25'. I was too lazy to carry water so I set up a barrel under the gutters on the apartment, connected a drain, ran a 1/2" hose to drain into a barrel at the garden. As soon as a rain started to water would shoot out the lower end so hard I had to make a deflector to keep it from over shooting the barrel. I had just run it on the ground and then made a forked stick to hold it shoot very slightly upward (maybe 5 degrees). The pressure generated by the drop made it over shoot the barrel. A garden hose without a drop would only have gone part way across the barrel before before dropping it with the pressure we had there (guessing maybe 40-50#).
A 3/4" with good drop will shoot out the end better that a short hose connected to your hose connection on the house.