That’s how I did it as well. I took a picture of how I tied into my sink line for you so it makes more sense if I’m confusing you I apologize.the person who recommended I use the ball valve to regulate the pressure has been dripping for quite some time, don't think a globe valve is needed.
I am not piercing the line and running individual emitters off the line I'm running one line from the reducing coupler to the 450gallon then when I need to add other lines down the road I'll close the ball valve and tee off the 1/4" line to other tanks
The line on the right is what feeds my pressure regulator then goes through my carbon filter.
If you are running multiple drips you would have to change the design a little but you get the idea.