Playing your irons @ 1″, do you mean hosel depth? That is what I am assuming? Or are you Playing length of plus 1″? Bottom of hosel depth at 1″ is the standard for irons; but there are many iron designs that measure 1.25″ ( have also worked on 1.50 depths).
The reason I bring this up is related to shaft trimming. I always take hosel depth into consideration when trimming shafts to get the correct flex based on a 1″ hosel depth. That being stated, your concern is swing weight.
Couple of suggestions: Just drill out 1/4″ to 5/16 diameters center of hosel about 1/2 inch or so to help remove weight.
(which I have done).
Also you can back weight on grip end with lead tape under grip or lead weights in butt end of shaft. Golf works can
supply plastic tubes to insert to accommodate lead.
Hope this helps. Old School club builder here