If you're not in a hurry to be anywhere. I would hate to keep you from more important things. Otherwise, I'd be happy to accompany you.

[That begs the question of "who would be most likely to throw out a carpet?" She pauses to consider.]

I suppose a carpeting or home goods store might have something fairly cheap, if there are none on the curbside. It doesn't need to be extravagant... but thicker is probably better.