You're going to have a wonderful trip. That is, unless you carry too much weight. I recently used the Canon 24-105 as my main Number 1 lens on a trip to Europe and thought it was just right because of its wide range, high image quality and optical stabilization. This despite slightly larger weight and size than what I would prefer but since we used a car to get around it was fine. On a bike? Try something more compact and light weight. I would suggest that you a least consider a Tamron 28-75 f/2.8 lens for a cost of roughly $340 to $360 versus about $1,100 for the Canon 24-105.
Now, you may be a soccer player and like to run up and down the steps on the bleachers over at the local school and can scoff at weight and size, but then again, maybe not. Don't laugh, I was on a 1 month long bicycle trip with a soccer player who did just that.
Send me a PM if you like and I can link you to my galleries that use mostly either one of the 2 lenses I have mentioned above. General galleries are at www.lightenough.com
. The Canon 24-105 is a better quality lens than the Tamron, but that comes at several times the weight and cost. The Tamron is really good.
I have a nice Panasonic DMC-LX3 (which is very hard to find in stock) and it takes really clean and sharp RAW format images. The only catch is its all wide angle. The reason I mention it is there are a few really good point and shoots which will minimize weight and bulk far more than just using relatively compact sized DSLR gear. A Canon G-10 is also a good strategy.
Enjoy your trip and keep shooting!