Painting Over a Linseed Oil Finish on Furniture?

My new custom made bed (pine) was treated with linseed oil. I was assured it's non-toxic. Well, it has been 2 weeks, and the bed still emits an odor. It gives me a sore throat and cough. What can be done? Can I paint it over with a latex paint? I am allergic to all household chemicals, so the paint should contain no VOCs.

By Irena from Portland, OR