Laundromat to wash a 5×7 low pile rug, rubber back?

I got a low pile synthetic rug, rubber back 5×7 at a yard sale. It's got some dirt/dust though! On the back too (?!).Light pale mud? Vacuuming isn't enough. I have no outside space to beat it. I tried and unintentionally created a dust cloud of pissed off fire ants on the dusty rug. At that point I couldn't bring it back inside Now it's riding in my car and I'm not sure if I've also created a fire ant colony in my car, but I'd like the rug to be on the floor by my couches just dust and fire ant free.

I took it to the laundromat on North main but worth a name but their larger washer doesn't quite or doesn't quite seem like it would do the trick.. Does anybody know of a washing terrier with extra large washers? Other suggestions are welcome! Lol I know that could be opening the flood gates. For what it's worth, the rug cost $5