Mydogowner, Take a look at my set with my old LP stand. It has a similar post where you attach the shells. I purchased an LP mounting bracket to mount my bells and jam block because the original was not tightening as well and was moving left to right while playing. If you zoom in on the photo by putting your cursor on the photo and right click it a second time to get even closer, you can see there are 2 holes on the bracket. This is for the post and a nub that the newer LP stands have to secure the bracket much better and prevent the shifting as I have explained. This bracket doesn't shift at all on my set and was a decent replacement part and may be worth your while if you cannot get the original mounting bracket of your set. I think my purchase ran about $10. This may be an option you may want to utilize. Peace.
PS- Upon a closer look of your mounting post the LP may work. What you will have to do is ask the dealer if the spacing is equal where your nub and post are in relation to the LP bracket's specifications. Here is the website where I got my hardware. Give them a shout and talk to their percussion specialists to see if the LP bracket would work with your set.Buena Suerte.
http://www.instrumentpro.com/P-LATLP984.htmlJorge