Well, you MIGHT be mad, but not because of this bike trip you're planning.

Sounds like a wonderful idea, and a little bit like when I rode my first metric century when my longest ride until then had been 35 miles, two years before the metric. But I'd been riding 15-20 pretty regularly, so it was something of a challenge, but definitely do-able. Be prepared with tools, patches, pump, plenty of food and water, and ... Have fun!