First of all, I wouldn't seriously use archmelee in any scenario because it's an acorn in the shadow of an oak tree if we are comparing them to archguns.

This build goes good with pretty much all the archmelee weapons, because there's virtually no mod diversity with archmelee weapons.

If you aren't going to put a potato (orokin catalyst) on your archmelee put your mods on in this order:

[Cutting Edge] > [Extend] > [Glacial Edge] > [Blazing Steel] > [Furor] > [Tempered Blade] > [Bleeding Edge] > Sudden Impact

This worked out pretty well for me in leveling my whacky sticks, it also gave me a pretty cheeky teleport from enemy-to-enemy to use my 3rd ability for Itzal with Cold Snap to gather enemies before giving the lot of them a swing/smash.