Is the gear calculator the only way to find out what the right set up is?
nope, but it's the only way, on paper/screen, I know of to do comparative analysis, the alternative is trial and error which would be costly in time and money.
If you're just looking for a rough idea and a starting point then that's a bit different, and you need to be aware of what will work together:-
touring - having plenty of low gears is deemed useful, especially if you're heavily laden, most would say to do this via a triple chainset and, if need be, a wide range cassette.
if you want a wide range cassette then you would normally need a longer cage/MTB rear derailler to handle it. Shimano road stuff generally copes with up to a 28t largest cog on cassette. Whereas a MTB rear derailler will let you go to 34/36t, the downside to a wide cassette is that the steps between gears are larger. for example:-
a road triple of 52/42/30 and an 11-34 cassette will give you a high gear of 128(too high probably) inches and a low of 24 inches
a road triple of 52/42/24 and a 12-27 cassette gives a high of 117 and a low of 24 inches
the second option would give much more closely spaced gears, personally I'd go for a setup of:-
triple 48/38/24 and a 12-27 giving 118 to 24 inches, this also keeps the overall front spread at 24t and, as long as you can lower the front derailler to the 48t, from the 52t, height, will work nicely.
As you can see there're lots of ways to do this and people develop personal preferences over time, so you'll get many answers.