I think you may have a problem with the hardware cloth now that I think about it...the chicken poop will not go through it!!! So it will not accomplish what you want.
Just to clarify...the above poster is right about the flimsy mature of "chicken wire"...I was thinking about a hardware cloth type wire that we use here.
Wire is not the best thing for their feet...however, if they have a run and will spend little time in the coop, it probably wouldn't be a big problem. Just know that you may encounter feet problems and have a Plan B if the wire doesn't work out.
FYI...My hens probably spend less than 1 hour per...