The joiner tips? I'm pretty much the least practical person you could come across, but could you use an electric saw to cut as close to the surface as possible, then hand sand or borrow the belt sander to remove the last bit?
I stand to be massively corrected, but thought I'd throw it out there. I want this knighthood .
I'm sure more helpful gents will be along shortly. Good luck!
Heh, I did warn you! Good luck with it though, and good luck with the project. Now you can post pictures I look forward to seeing the results in the future.