I have had this noise since new, but have found a cure.
It seems to be the bottom of the dashboard rubbing / vibrating against the chassis tube that runs behind and near the bottom of the dashboard. While driving, try gently pulling back the bottom of the dashboard and you should find the chirping disappears.
I also found that a passenger would often make the noise disappear, and sometimes the noise got worse as the car warmed up - maybe just because of friction and touch-points.
Anyway, I took some small rubber pieces and gently pushed them between the dashboard and the chassis tube, and the noise disappeared.
Oddly enough it's reappeared a bit recently but still goes when I gently tug the dashboard. I need to make sure the rubber bits haven't slipped. Anything that gently dampens the contact between dashboard and tube should work.
I hope! Good luck!!!
