You could just try to replace then entire rod and tilter itself..
The Gibraltar 8600 series flat base stands will fit, as i've tried it with my 60's Ludwig flat base snare stand
bottom, although i don't know if just the upper section would fit.
It could very well be the case, seeing as how it looks just as thin..
You could also get the new Tama flat base stands which are well built and heavy duty,
although very light and not too beefy.. They look amazing, and also have the classic tooth tilter
http://www.musiciansfriend.com/accessories/tama-the-classic-cymbal-stand-flat-base