I am sure others may have different opinions, but I would not do it. Part of the visual appeal of the shaping of a swamped barrel is the tapering/slimming effect it has on the forestock. If you were only to do the top 3 flats, the forend will still be straight, and I think would look odd alongside the taper and flare of the top 3 flats. I know some originals tended to not have as pronounced taper and flare of the barrel and wood along the barrel but on a slim gun like this, I think it might stand out like a sore thumb.
I have only seen a couple of original Armstrongs in person - I don't know if they had straight barrels or swamped - they might have been swamped - but on the other hand I never noticed any easily detectable taper and flare to the barrel - they looked pretty slim all the way back. So I see nothing wrong with a straight barrel for your build.
Some folks will recommend filing the lock bolster to "kick the tail out" and give a flaring effect to the lock panel and wrist, but be aware - if you do this, you are also "pulling in" - things like the frizzen, the mainspring, and the nose of the lock - all of which can cause you problems with clearance, fit and shaping on a slender gun.
Good luck
Guy