Lord Haseo said:
What about the other solution though? Why couldn’t Vader just pick him up with The Force, hold him down in the Carbonite chamber and turn the thing on?

The first time we see the force being used to telekinetically manipulate living beings is Maul’s force push at the end of TPM. In traditional eastern chi theory it is very difficult to overcome to chi of another being to use chi on them as such. Since the force is based on these teachings I don’t think it’s unreasonable to extend the same principle. Lifting other people and throwing them about is an EU-only phenomena. Even Maul was only able to throw Obi-Wan off-balance. Force choke is fairly low level of invasion, only manipulating the throat.

Lord Haseo said:
Seeing as how he was able to fight while throwing stuff at Luke…yeah I think he would be able to do that.

He wasn’t fighting. He even lowered his lightsabre to focus on throwing things at Luke. They weren’t even within striking distance. The first throw was during a clash where he only had to focus on keep Luke’s sabre down. It’s clearly something he had to divert his attention to.