I've experienced some noises under similiar circumstances. The noise is hard to describe it sounds to me like somewhere between a scraping-crunching-clicking noise from the passenger (right) side. It only happens when the car has been parked for a while -- usually overnight, and then happens for the first 10-15 minutes of driving, only when accelerating from a stop. The noise lasts for about 1/2 - 1 second and then stops. (but can re-occur if you stop & start again during the first 10 minutes).

There's also a clunk, which is more intermittent, but happens under the same conditions, front front passenger (right) side.

Dealer has replaced a swaybar bushing and front struts, to no avail.

I've read other reports that the clunk could be a worn engine mount bushing, but very little else on this scraping noise. Not sure if they're related. Clunk is always accompanied by the scraping , but the scraping often happens on its own with no clunk.

(I call it a scraping noise for lack of a better description. )