Would the solder joint be able to handle that (I assume that on the triac side has to be soldered since it's the standard TO-xx packaging)?
If the leads of the package can handle it then the solder joint certainly should.
I would lay down wide PCB traces and cover them with solder, all the way from the triac to the 10 AWG wire connector. That should handle 30A
If I were going for a more flexible option, I'd need some sort of connectors that could handle this kind of load though... any thoughts other than using wiring nuts?