You can do it but it will take some experimentation. I'm all for putting a valve on a drain line for on/off but not for regulating flow because you will get build up and it will constantly change the flow rate.
Take this all with a grain of salt - was in a car accident 4-1/2 months ago and got 2 concussions and am still having post concussion syndrome.
Say your drain line is 1". Run 1" down, and tee off at 1". Then put (2) 1" 22.5 elbows in and run the rest of the way to your fuge. One elbow goes up and the other goes down so it creates a little "hill" and then a straight run. On the other side, reduce down to 1/2" or even 1/4" (you'll need to experiment to see what balances the flow) and run that to your skimmer.
The purpose of the 22.5 is to keep everything from going to the fuge. The purpose of the reduction on the other side is to build up enough back pressure that some water still gets pushed to the 'fuge.
I'll sketch it in AutoCAD in a minute to try and make it clearer.