Exact same issue, the only way I had success is driving right by the parking cars, providing there's no opposite bike traffic. Loads of dangerous speeding there too in the evenings...
It's not all bad - I once got challenged to a race along there (in the direction of the motor traffic) by a group of kids from the local estates on their mountain bikes.
"Fam! Fam! Wanna race, fam!"
I was on my Dutch bike and lost, but it was great fun...
Exact same issue, the only way I had success is driving right by the parking cars, providing there's no opposite bike traffic. Loads of dangerous speeding there too in the evenings...