Those mats do clean up well and are not abrasive for bunny hocks. Ive seen quite large ones also. I’d like to use them more but my buns tend to chew anything with foam or rubber.
Might be time I try them again, now that the buns are older.
The furry blanket thing is a PITA. I end up with quite a few unwashed and just resort to buying new when they are on sale. 
I am lucky in the fact that I have an old top loader outside that I use for pet washing. Recently, I started just putting stuff through without cleaning off the fur first. I take out a lot of fur from the filter several times during the wash. Finishing with tumble dry at the laundro-mat and they come up pretty well. I take wet wipes to wipe out the dryer after, just in case.
Could you see if there is a laudromat in your area that has a dedicated machine for washing pets items??
I do remember a tip about putting stuff in the dryer first on a cool cycle. Apparently it helps remove some pet hair. Also loosens the fabric fibres pre-washing some more hair comes away in the wash.
So we stopped washing them and moved to using an area rug. But my girls love chewing on the rug, so now we are back to using blankets.
Is it the edges of the area rug they are chewing? Or anywhere at random? Could you try covering the entire rug with a cotton bedsheet?