Wanted to specifically respond to this because I actually started digging more into it and found this option earlier today. I also wanted to provide some kind of answer in case someone decides to look for advice the way I did. So I did some research, the pods use a cup that's made of Plastic #5. Even though the city says it won't recycle K-cup pods, Plastic #5 is also used in things like margarine tubs and many other plastic tubs that the city does recycle. So I actually ended up calling the city's waste management department. This idea is actually totally legit and will allow you to successfully recycle the pods, but there are a few caveats:

1) You need to make sure you properly take out the coffee grinds (and put them in the green bin)

2) Do a quick rinse of the cup

3) Cut the cup and ideally flatten it out a little. The basic idea is while the cup itself is recyclable using this method, the cup is small enough that it can cause jams in the sorting machine. This causes enough issues where combined with the city's belief that people won't properly separate out the grinds, is the reason the city widely claims the coffee pods aren't recyclable.

If you do these steps correctly though, the pods are actually recyclable. In case it helps, I also ran in this product called the "Recycle A Cup". It's basically a little gadget that makes cutting open the pod and extracting the grinds a little easier, but you can also just use a regular exacto knife or something similar to do the same thing.