Most papers made today are chlorobromide (silver chloride and silver bromide) papers. The most notable exceptions are Azo, which is a pure silver chloride paper, and Bergger Art Contact, which is a chloroiodide (silver chloride and silver iodide) paper.
Most modern chlorobromide papers don't show much improvement in amidol over other developers that couldn't be achieved in some other way, say by changing development time or dilution with a more conventional developer, but a few do, like Maco Expo RF graded. You might just try your favorite papers in amidol, and see if you like the results. The main advantages of amidol, when it works, are richer blacks and the possibility of water bath control.
Amidol has the strange property of developing from the bottom up with some papers, so it is particularly amenable to water bath development, which can be a handy thing.
I use Michael Smith's amidol formula for enlarging papers with Expo RF. This is particularly attractive if you also contact print on Azo, since you can do your Azo prints first in Smith's formula for Azo, add the requisite amount of KBr and Benzotriazole, and finish the printing session with enlargements to get the most out of that tray of amidol.
