Yes, the 3405 would be perfect for his rkcstr modules...
It has plenty of room inside for the full length AixiZ module. Even the version 2 heatsink style will have enough room. But the version 1 heatsink style will give even more room.
All you have to do is get two lead wires from the pill. When you take the stock LED emitter off, you will see how it is wired. There is a positive lead from the center of the round board.
The negative is the threaded pill. The connection is via a wire that is pinched between the round board and the pill.
I like to solder the wire to the outside ring of the circuit board, then remove the board and clip the other end of the ground wire shorter, and then solder my negative lead to it.
Then just make sure it is pinched back nice and 'snug' when you put the board back into the pill.
Using fine wire is best. If the wire on the rkcstr module is too thick, it will be more difficult to fit, but this host has plenty of room.
As an option, I will solder on two lead wires for an extra $10 bucks...