Ok, this might not technically be a DIY but I found a way to control the water flow rate when trying to take shots of water drops with macro (or whatever lens you use). It's going to be a little...odd...but hear me out.
All the water drop tutorials I had read either used a bag that you stuck a hole in-and then had uncontrolled drops, or a high tech system that costs mucho dollars to build. Being horribly cheap like I am, I went to a Medical Supply Store and bought a feeding tube kit. It is perfect for the occasion. The bag has a plastic screw cap made into the top made for refilling...water. The key is the tubing at the bottom. It has a thumb valve to allow you to control the flow of the water, from a full stream to a drop every few seconds (or whatever time you wish). Just scroll the wheel with your thumb to the desired rate. The tubing is way too long right out of the box but I cut mine down to a small section and it worked the very first time.  MUCH better than sticking a hole in a bag of water that, once started, can't be stopped. The bags in the tutorials are one time uses too. This setup is reusable. Total cost at the medical supply place was $3.54.  Your milage may vary though.
(ok, the DIY part was cutting the tubing down to size, hows that?)

Thanks Snapper.  And thanks for that link. Dear GOD those are stunning! I can't even comprehend how those could be taken (even when the author explained it!).  Oh those made me want to experiment now. Gels over the flash? Water color? Yea, I can see me wasting a lot more time on these now.
(if I do, my wife would like to have a word with you for posting that link...)

Droplet photography sure could become addictive if you can get results like those on her Flickr site. I admire her skill but I wouldn't want to spend that much time indoors when there so many other things to investigate photograph and photograph. 

Agreed. It's fun while it's cold out for now but when the weather turns, I'm looking forward to getting outdoors again.
Hopefully the outdoors will also have water shots but of the flowing variety. (as soon as I nab a ND filter that is)

Probably could for most people if you can get your equipment set up right.
I can't because I have a corner sink setup and couldn't place my background board (where I place colored tissue paper) in the right place, nor could I put my flash in the right location.  I would think that the angle needed to get the water shot might be a tad bit steep unless you put a pan higher up near the level of the counter too.
Give it a shot though and post some pics!
My next batch of shots will be an experiment with a little gum sugar (?) to be added to the water to thicken it and create some different shapes. Might even try lens gels too, just for grins.
Good luck though with the faucet. Hope it works!

Posted some up in the pics section.  I had a shallow glass dish.  I put a large cutting board across the two sinks, then white paper, then the shallow dish.  I was able to get top down as well as a side view on some.

Saw those. Well done!
I'm going to take the next step with the feeding tube bag by adding a thickening agent to the water to create larger drops just to see what develops (no pun intended) with them. Might even color the water drops too. Should be interesting.

I used a baggie with a pin hole and the water drops were steady and regular...hmmmm

I used a baggie with a pin hole and the water drops were steady and regular...hmmmm

My first attempts were with a bag and initially I got a nice steady drip, but after a while it slowed down and eventually the drips were spacing too far apart (I was impatient?).  The bag had plenty of water in it but I think it was because the bag of water got warmer (it was in the sunlit window). It happened twice total to me so that's why I went with the alternate method.
(maybe I just took too many damned photos. I literally took a hundred or more at one time)

@barryjphoto: on the link I posted, I have a crown that had a light green backdrop. As it turns out, many folks I showed it to thought it was the best of the lot.

I have some outdated bags of IV solution and IV tubing set aside for my adventure in the water drop realm. I just can't pull myself away from work long enough to do it. Working in the medical field has it pros and cons.

That's exactly where I got the idea.  (retired firefighter/EMT here)
Those feeding tube kits work like a champ since they can be refilled with the screw on cap. The thumbwheel control allows a pretty darned good controlled drip too.
Just bought some glycerin yesterday at the store.  If time allows, I want to try it today and see if the results differ much from my first shots.