The way BB's work is dynamic, they move around to balance it out. Internal or standard weights would just make them work harder. You can have a chunk of ice or a rock wedged in somewhere and the BB's will just move to compensate it.
I used 9oz (juuust over 1/2 lb) of 20g Airsoft BB's in my GMC's 265/75R16's. They're "Winston Winners", or wayyyyy knockoff BFG's that were not worn very evenly but had overall good tread (and $35 apiece w/ rims). I picked up a set of 4 at the junkyard with rims, ended up taking the tires off, grinding down the rust on the edges with an angle grinder so they'd hold air and be smooth, further smoothed with some sanding. So my rims are a bit questionable too lol.
Other than a very slight rythmic "bounce" right around 40mph (It's done it on all sorts of roads right around that speed), I have ZERO complaints. Balanced my trailer tires too that way. I would absolutely do it again, and really the bounce is not bad at all, seriously.
It rides light years better than the old tires that were on it with weights LOL.
I might start with 9oz, and test run it. If it still shakes, pop the bead off again, try 10.5oz (.65oz) or 12oz (.75 lbs) and see how it runs.
Pics of my rims if that says anything LOL
https://www.facebook.com/photo.php?fbid=940019985651&l=cfd20bed7e
https://www.facebook.com/photo.php?fbid=940020050521&l=aa5cc46624