You need to pop the seat, take the tank off, remove the coils and pull the plugs - less than 10 minutes if you're mechanically inclined. I've done it, and I'm a relative newb to C10 maintenance. Don't skip removal of the coils! Yes, you'll easily do the whole thing done well inside 2 hours.
Yes, it is more of a problem on this bike because of the lack of carb overflows. Steve Sefsick - the guy in the video, who IS "Shoodaben Engineering" and makes upgrade components that make the C10 "what the Concours
shoodaben " - has a mod (carb overflows) that he will do on your carb set to prevent hydrolock, assuming your test is successful. Don't argue or vacillate, just pop them off when you get the beauty home, send the carb assembly to him and he'll make the nightmare go away for a fair price and a couple of days turnaround. Like many people humble enough to take a hint, I did it; hydrolock is now one thing I don't need to worry about. Steve ("SteveInSunnyFlorida" or "SISF" on this forum) is a proven expert at C10 carbs, so he'll give them a worthwhile once-over too.
The C10 is well known to be a little lumpy below 2,000 RPM - although it is nothing less than exhilarating above 3,000; that's just how it is - four CV carbs wandering about aimlessly at idle-level airflow will do that to an engine. Steve's carb mods, a valve clearance adjustment followed by a carb balance will minimize that lumpiness and make a viable C10 bring you to tears of joy. I've had my '06 for 2 years, I've put 30,000 miles on it in that time, and I've loved spinning up every one of them.
Talking of experts, there are several other experts on this forum; you'll figure out who they are soon enough :-) Trust them, and they will look after you and keep you company as your love affair with your Connie develops. Just, for heaven's sake, don't ask about oil - you'll start civil war #213