Do keep on keeping on!! I have had the bike blown out from under me as well...
... I assume you're basing the "too heavy" proclamation on riding? I have an extremely heavy genuine Dutch bike, but because it's so well engineered it rides like silk. ( Um, it's also flat as a pancake here, and I might feel differently if I had to haul it up inclines.) However, when it's windy or rainy, I *like* a heavy bike. It handles wind better and plows through the occasional flooding with more momentum, and the fenders etc. really are an asset since I really do ride in wahtever.