bingo!
this is the one I use. The ELPH are nice. but more expensive, and if I was on the bike taking action shots, I'm NOT going to be swinging my EXPENSIVE camera around one handed. The A75 is a trooper and the price is coiming down. Bear in mind that you will need extra stuff with ANY camera you buy (bigger flash memory card, case, spare rechargeable batteries) so expect to add $50+ to that price point.
When I started touring (1971?) we used instamatic cameras and took more cool pics just holding them out in front of each other as we were moving. Bring along a disposeable camera for this purpose; if it bounces, they will still work okay. Remember to take some 'tracking' shots of your mates as they ride beside you; the blurring of the background and the 'freeze of the subject' is too cool!