I think there could be some cases when you won't have structural damage:for ex dual bleed trip off (very remote ,i think) ,malfunction of the pressurization system ,of the outflow valve...
I don't think you can achieve bellow 22000' a ROD of 8000',maybe if you lower the gear,but I guess it won't be achievable.I'll try it next time on the sim.You actually do this on sim?
Brgds Alex