Not crazy. And BTW the 720 is a nice bike.

If the rim is hitting the brakes, it's time to true the wheel.

Get a good spoke wrench. Stay far away from the shiny ring wrenches that fit 6 sizes. Take the bike to a nearby shop and pay $10 for the right size wrench.

If you can hear the "ping" pitch, ID the loose spokes. You may want to flag them with a scrap of masking tape, though that's optional and will change the pitch. Note that the left and right (non-drive side and drive side) are at different tones/tension; this is on purpose. My guess is there are 2-4 spokes that are unwound. Bring them up to tension, 1/4 turn at a time. For the time being, stop when the rim doesn't hit the brakes, and take your wife on a nice bike ride.