I have had real problems with the Lee 124 gr TL mold. Not only does it get tumbled in their lube, it also tumbles and keyholes on targets. This is with my second mold bought in 2 handguns, a friends loaded ammo in 3 different guns.
I would go with the 124 gr conventional lube bullet and tumble it or powder coat it.
For Lyman molds, I like the 358242 120 gr. I am currently shooting a couple of molds from Accurate molds and Noe molds. A 124 gr slick sided for powder coating and a 130 gr fn. I have shot cast in 4 different autos, a Ruger Blackhawk and a PC carbine, starting in 1994.
Good luck in your process.