Rich, that type of rug is one of the main reasons I found myself the '87 Maytag 712.  I didn't want to ruin our Frigidaire Affinity with the rubber debris.  There's no easy filter access on those machines either.

Same goes for the Neptune FL machine that's been my daily driver for the past 3.5 years.  No rubber backed rugs go into it ever.  The 712 does all of the laundry I don't want to abuse the Neptune with, and I always use slow agitation with fast spin for rugs.  The fitted sheet I stuff the comforter in when the cat sleeps on the bed (which is only when my buddy spends the night) also goes into the 712.  I fill it up to just below the second lowest slot in the agitator and that's high enough for the lint filter to capture wads of cat fur.

Even though I don't put the above items through the Neptune, I've been in the habit of using one of those metal or plastic mesh lint catcher "socks" on the end of the drain hose of any washer I've owned that had a self-cleaning filter.  I learned this way back when my mom's '74 Kenmore with self-cleaning filter clogged up the sewer line out by the street.  Lint was distributed all around the lid to the clean-out in the lawn.  She started using those sock type catchers on the drain hose and never had another problem.  They're well worth the few bucks for a package containing two of them.