"...Maybe I need to carry a chainsaw..."

Mucho better, without a doubt. But I rarely carry mine unless I plan on cutting some wood, it is larger, messier, and you have to carry fuel and oil. On the other hand, I ALWAYS have a bow saw and axe in my vehicles. Many of the trees that I have encountered are not all that large, maybe eight to ten inches in diameter, but they were across the road at headlight height. Too big to drag (the ends are always entertwined with other still standing trees), might be a long way to go around (if you can even find another route), but not too big to cut out with a saw and/or axe...