They look pretty funky Wes

I've just done a bit of that there riveting and found that a small chamfer in the hole to allow the rivet to fill it gives a nice tight grip and less likely to fail IMHO.
I cracked the wood on my first attempt so found out quite quickly that 2mm was too much and 1mm worked just right. But I riveted them before final shaping and finishing.
Don't know how much of this you have done but I'll happily say this even if it pertains to sucking eggs....
After placing a small chamfer on each hole I placed the rivet in full length. Placed one side on the anvil and peined the long protruding end over to about 1.5 times the diameter of the original rod.
Then knocked it through so it was tight into the hole and placed that side on the anvil. Then cut off and filed the remaining rod to approx 1mm protruding. I then peined that over till it filled the hole, then turned it over and peined the first side again till it filled the hole. Then i filed them flush and finished the job with emery paper (or a linisher type affair)
As said, just in case.... Might help someone?

Just posted the pic's on the one I did in the gallery this afternoon.
Good luck
Ralph.