The Poly restrictions only apply to content that you export via the File>Export menu option. There is a File>Send to Unreal menu option that has no poly limit (as well as “Send to Unity” and “Send to Mudbox” menus in case you were curious).
Can’t give you many thoughts on LT 2016 as I’m still on 2015. The send to Mudbox option has to have an equivalent version of Mudbox (2016 Maya can only send to 2016 Mudbox, and Mudbox 2016 isn’t released yet).