This is a very interesting question. It really has to do with preference I guess. Its why they make so many flavors of ice cream, ya know?
The main advantage to single shots, that I see, is they tend to be shorter and lighter than most other action types. A T/C Ancore with 24 inch bbl is about the same size as a Ruger 10/22 and, if I remember correctly, a couple of inches shorter than a Marlin 336 carbine.
By black and white you could see having only one shot as a disadvantage. Really, though, one well aimed shot is all anyone should ever really need, and even if speed is requiered, a little practice will have you dropping rounds in and out pretty quick. I watched a guy on the Outdoor channel hit a Kudu 3 times in the span of a few seconds with a 300 win Mag Encore. So speed is a relative thing.
You should never feel undergunned with a single shot, but you must be comfortable with your weapon to be successful. You sound like the kind of guy who will have no problem adapting, so I say go for it!
Brian