you've crunched the no.s for what gearing you have. that's good. you have the widest stock cassette available. not good for touring. probably never
use 52x11,12. try crunching the no.s for 12-28 9 sp cassette and a 26-38-48 crank. 24 to 108" with about 16 close ratio gears. you'll have assemble
the cassette, but you can get what ever gearing you want. or you could make a 13-32 out of your present cassette by
getting a 13 1st position cog and a 15 mid position cog. this would give you 100 to 22" with a 48-38-26 crank.