I am always on time. Except for when I was on the predz I got my period every 2 weeks! The doc said this could be normal. (never happened before 7 other times)
I've never had a problem with remicade and periods, unless I did my infusion the day before or the same day I am due to start my period. In this case I can go up to 2 weeks being late.
Humira is the same, I did a shot the day before I was due, ended up being a week late. Try to schedule your infusions around your period (if possible)