After much work today I think I'm in the home stretch with this project. Of course, the home stretch is the tricky part.
I need to apply all of the modifiers and then double check the the size of the vines. I've got them touching here and there so they shouldn't need to be as thick but since the cost will be pretty high, I'd prefer not to have any mistakes so I'll be double checking and if necessary thicken the vines and other aspects of the piece before uploading it and seeing if Shapeways accepts the model.
The final size is a bout 4.25cm tall. That makes each of those vines about 1mm thick which is about .2mm larger than the min recommended diameter. If all goes well I can send this off for printing in the next couple of days.