I tried something similar to that in my last garden. I was 1/4 mile away from my water and power source so I collected rainwater with a 300 gallon rain barrel. I pumped it up (with a battery powered sump pump) to another 300 gallon tank on an 8' high platform. That gave me a couple of psi of water pressure. I ran a
feed line across the ends of the rows with 3/4" PVC. I then plumbed a series of drip lines with 1/2" PVC. I drilled tiny holes every inch or so, trying to keep them in a straight line. With this low pressure I could just jam on the caps, couplings and tees without glue in case I needed to redo the system or disassemble it for winter.
My rows were 25' long and I had 6-7 of them all on the same supply. My garden was sloped on a diagonal so the water supply was at the highest point and it dropped as you went across the rows and down each row. I put a small valve at the beginning of each row so I could turn up or down the water a bit for each row. I oriented the holes so they'd point up so they wouldn't get as plugged with dirt.
When I turned on the first row I was in love. Is sprinkled a stream of water from each hole about 3' in the air. Due to my inability to drill the holes in a perfect line they had better coverage. When I turned on the second row, both lines still sprinkled up in the air but it was 4-12". When I turned on the third row the sprinkling stopped and they all started to just dribble. By the time I got all the lines on, some where dribbling water and some weren't. The lower elevation areas had good water and the higher spots didn't.
I think the flow was limited by the 3/4" pipe. If I had a bigger supply to all the small lines, they probably would have had
enough supply to keep the 1/2" pipes full (and then let water out of the highest holes in the row).
My system (with limitations) keep the garden growing for 3 years (till we sold the
land) so it was a success. The 300 gallon tank would drain out totally in 45 minutes. If I had a bigger supply and better distribution it wouldn't have lasted that long. Some crude math tells me that I was delivering about 7 gpm but could've done maybe 10 with bigger supply lines.
If you can supply enough water to keep the pipes full, the system should work for you. My runs were only 25' long, I'm not sure if it would work if they were longer? Be sure to filter the water or keep it clean so it doesn't plug the holes. I think aiming the holes up helps keep stuff from plugging them (debris settles to the bottom of each line). Maybe blow out the pipes with higher pressure water and the end cap off every once in a while. When the water dribbles out of the holes it runs to the underside of the pipe and then can hang onto the pipe and go downhill until the drop is big enough to fall off of the pipe. So laying the pipe on the ground will allow the water drips to soak in at that point instead of traveling downhill first.
Good luck!