If you're going to use a herbicide Roundup is the safest. My property is under a conservation easement with private conservation group and they are very strict, but they recently did an invasive weed eradication project in conjunction with the federal government and they specified Roundup as the only herbicide they would allow. They wouldn't allow imazapyr ("Habitat") which is viewed as generally pretty safe. Triclopyr is a maybe. I wouldn't put 2,4-d or Grazon on my land if you paid me but they're out of the question anyway.
In places the conservation group required that the Roundup be applied by hand with a sponge, so that only the targeted plants were treated. The cost of treating 14 acres was $95,0000. (This was multiple treatments over several years). Try pricing that to your client!
In my climate I find that regular mowing is all that is needed to give grass an edge over weeds. It is more expensive and time consuming than spraying but doable.
We keep goats but mowing is easier than keeping goats.
I'm guessing that reason they don't want products like triclopyr, imazapyr, and picloram is because it has long residual and is much more effective at killing woody species. Glyphosate has basically no residual and doesn't have much if any action on woody species.
I would have no issue with 2,4-D being used. What is your issue with it?