I love my wife, I really do, but she gets a little nervous when it comes to expensive things. This weekend will be our last camping trip in Alaska

While camping we are going to do a Glacier boat tour which generally get in some whale viewing. I REALLY want to rent a 100-400 to take with us but it is just too much for her to think of "What if?" So, I'm not going to push her on it, I pled my case and she asked that we don't.
This leaves me with too options, my pretty good Sigma 18-125 that is stabilized or a cheap kit 70-300 lens without IS. Which would you do; the better of the 2 lenses with limited reach or big reach with the possibility of getting a shaky shot? UUGGHHHH