***! Birds eye maple trim in a house. Just the thought of that sight makes me giddy. How awesome. As far as stripping it goes, the value and interest of a home with trim like that would not only be unique but priceless.
To remove the paint from it, Google "silent paint remover". It is one cool tool. I first heard about it on TOH years ago and have a reason to use it from time to time. It is an infra red light that heats the layers of paint to 300-400 degrees and softens it so you sc**** it right off. It heats an area about the size of a shoe box at a time. It sounds too simple but it is. You will need a variety of scraping implements to reach corners and details. After the paint is removed you will need to do a little sanding to smooth up the surfaces but anything is better than the chemical alternatives.