I as well own and load for all three, given the choice to chose only one, it would be the 44Mag...
Why? you can load it up, you can load it down, metallurgy in all guns chambered for it are pretty good.. it is an inherently accurate cartridge, rolling cans at 100 yards with any of my Smiths or Rugers is not hard to do at all..
I love the 41 mag, it is just a good round, will stop anything you throw it at on this continent.. only drawback, not that easy to walk into Wally World and they always have a good selection for it.. If you hand load, your good, just finding a good startup stock of brass is your only slow down, but the internet is full of deals, so that one is not really an issue..
The 45LC, now if you are gonna go the Cowboy Action route, it would be the one to go with, as stated, in modern guns, it can be hotrodded to the point where it will meet or surpass factory 44 mag energies.. it can be loaded with BP or 777 to go play dress up.
As far as full house loads in modern 45LC, ahh.. you can do it, I do it.. never had an issue, well let me take that back, I have a Ruger Blackhawk in LC that sometimes the cylinder pin will not want to hold if I am shooting the hot stuff, it is more annoyance than anything else, I need to order a new one, or actually trim it a touch so that it rides a tad deeper in the notch.. just too lazy to pull it down and do it.. But that is a DAMN HOT load that does that.. 200 gr bullet moving about 1480...
But me, I don't shoot a steady diet of full house anything in pistol... Just not all that much fun.. One of the reasons that I reload is so that I can shoot milder stuff, as well as get more performance than the shelf stuff.. . save the heavy stuff for social endeavors and hunting..