OP - wanted to chime with a take from someone who has been on the other side. When I was a child, from 2-5, I would not see either of my parents for six months a year (they worked somewhere where they thought it was too cold to keep a small child). Every early fall, they'd send me to my grandparents and every spring, they'd pick me up. That was before the days of Skype.
I am not scarred and am very close to both my parents. In fact, I barely remember the separations. Your kids will be fine and you are certainly entitled to doing a job you seem to both like and need.
I've never had to go away for three months myself, but when I do have to go away for a few days, I make sure to facetime every day; you can also record a book in your voice to be read at bedtime.