So, I run two spots. One I amend and add primarily just water from the reservoir to drippers.
In the second spot, I get better yields, but that could be a number of factors such as just plain spending more time there. I use an organic nutrient line in a reservoir that feeds to octobubblers for drip irrigation. I clean the irrigation out between rounds, basically run peroxide through the lines and then water, take apart the Octobubblers and clean everything. I think the key for this process is using a fully water soluble organic fertilizer. I bet there are a couple on the market, but I'm running West Coast Horticulture's organic line. I did have to make a few adjustments, such as switching from a recirculating pump, to an air lift pump to keep the reservoirs from 'settling.' I do get some bubbly growth on the top, but it cleans out easily with water...though I wonder what might grow in there if I got some sort of pathogen introduced. Switched to these nutes about a year ago and so far I haven't had that problem though. For a larger set up, the fully soluble omri listed line could be hooked up to dosatrons, which would mitigate any concern about reservoirs growing things.
That said, if your soil is already amended, just running water is simple. The one thing I would say about drippers in this technique is that getting runoff can wash out some of your organic nutrients. I like blumats for amended soil, to avoid the runoff. I want to try running this west coast horticulture line on some blumats. (Maybe with a dosatron), the folks at blumat say as long as it truly is fully soluble it shouldn't be a problem.