Not aware of anything it can't grow through. Have resorted to Sedgehammer in spots where it can't be dug out without destroying neighboring plants.... but have also dug out and tossed good plants just to be rid of the stuff. Especially the mondo grass that the worst of it had stowed away with at the growers.

Mini clover is supposed to be a good, dense ground cover that crowds out weeds. Nutsedge is a beast, though. You might have to eliminate that first and use your ground cover to keep it from re-colonizing the area.

I never had a problem with nutsedge until it came in with a load of compost from a reliable source, but I guess the horses had been grazing on nutsedge and had ingested the seeds. I had to resort to a chemical treatment similar to Sedgehammer to get it under control. I believe 'Image' is the product I used. After the initial treatment I kept it handy in a spray bottle and treated it as soon as I saw it. It took a while, but now I only have an occasionally plant pop up here and there.

As you probably know the problem with pulling nutsedge is that it breaks off leaving several little 'nutlets' that soon resprout. Sorry, there is no easy fix. You have to keep at it, but maybe try to look on it as an opportunity to get yourself outside and enjoy the great outdoors.

Roselee makes a good point. Some chemical treatments can kill growing nutsedge down to the 'nutlets', but any seeds left in the soil will still sprout. Trick is to pull these shortly after they appear before they have a chance to form nutlets. That's they only way I've been able to break the cycle. Once new nutlets are established, it's usually back to digging or chemicals to eliminate them in our tight clay soil.