There are a lot of different adhesives out there, won't be an issue.
I know one guy who glued the tops/bases on his triple h-frames after painting, I believe he used a clear silicone calk and he says they are never coming off.
Right now I'm planning on letting this paint cure for a bit then I'll clean out the dowel holes with a drill bit so the dowels are all wood to wood joints, will use yellow pva on them. Likely the clear silicone or Melamane on the painted surfaces.
jay