You could except for one horrible problem. Radar isn't the only way enemy forces detect and react to threats.
The US Army was developing a very expensive stealth attack helicopter called the Comanche, which featured numerous technologies to reduce its radar and heat signatures so that it could fly deep penetration missions. The program was canceled shortly after a disastrous mission in the opening of the Iraq War, when a squadron of Apache gunships was sent on a deep attack mission, where they got mauled by Iraqi anti-aircraft fire, losing several helicopters and having only one return undamaged.
The Iraqis knew the probable approach routes, and knew attacking helicopters would have to pop up to clear high-voltage power lines, so they just set their guns to fire above the power lines, and had the various towns turn their lights on and off to signal the approach of any helicopters. When the Iraqi gunners saw a town's lights blink, they filled the sky over the power lines with lead. The simple technique was damnably effective, and in analyzing the mission the US Army realized that radar isn't what makes a helicopter vulnerable, it's that helicopters are slow, loud, and obvious targets to anyone with a big gun and a brain.
A blimp would be a hundred times worse. Enemy irregulars would call each other via cell phone ("Amad, there's an American blimp just north of Ali's gas-and-go!"), then they'd hop in their pick-up trucks with pintle-mounted Soviet AA guns and speed to the party, resulting in the embarrassing loss and capture of a US blimp and all forces aboard.