Dear LIzzie,
Lovely to meet you too and thank you for the question. I must say Bhutan is a very intersteing a unique destination for most travelers especially for the west not because we are special but we still have rich cultural integrity. Tradition is very much alive and people still have strong family ties.
I would definetly recommed Bhutan for you.
The best months to travel would be Spring and fall- that is from April to June and Sept-Nov.
you can refer this site for all details regarding Bhutan trip www.alwaysbhutan.com.
My fav season is october- its moderatley cool and warm in most places in Bhutan. You defintely should plan a trip.
Cheers