I'm sure there are maaany ways to switch out the ubuntu kernel, here is what I do. Going from 4.4 to 4.10 as an example.
1. Download the kernel version that you're after
wget http://kernel.ubuntu.com/~kernel-ppa/mainline/v4.10/linux-headers-4.10.0-041000_4.10.0-041000.201702191831_all.deb
wget http://kernel.ubuntu.com/~kernel-ppa/mainline/v4.10/linux-headers-4.10.0-041000-generic_4.10.0-041000.201702191831_amd64.deb