If the cassette is a 12-26, with a 22-32-44 the range would be 23" to 99". Myself I'd get a TA Carmina with a 94x58 BCD and 46-34-20 rings, this would give you 21" to 104" with nice close ratios
If he has the long cage 105 rear derailleur, the capacity is 36 teeth so the first combination would be (26-12)+(44-22)=36 so this would work.
For the second combination, it's (26-12)+(46-20)=40 which would exceed the maximum capacity of the current available 105 rd. Using the LX rd, which has a capacity of 45 teeth would work and would be compatible with any shifters that suited the 105 and the cassette.
Those look like a nice set of gears for touring.