If you had a 1913 what carbon would be the same spine ??
The ones I have are 29 in.
Didn't know there was such a thing as a 1913. Don't know what the conversion might be. A 1916 is about 50-55#, which would be about a .600 in carbon with some weight up front. Given that 13 would be even thinner walled, it's probably closer to a .700.
1913 is .733 deflection
This particular bow I am talking about has 6 ply carbon on the front and .040 glass belly. At my draw is about 38 lbs. And a 700 fly great out of it but is very noisy. The 1913 fly just as good with 145 up front but is dead quite.
I have another bow with two ply front and belly same poundage and the 700 fly great and dead quite. I want to blame it on the 6 ply but ain't sure.
I use 1913 AO arrows from my 42# ILF bow. Carbon and foam limbs. I also shoot 600 spine Beeman Centershot arrows from the bow. Both weight in at 380 grains. The bow isn't any louder than my Bear Mag with Bear limbs. Only have one set of cat whiskers on my bows. But your experience may vary.
I would try either a 700 or 600 spine carbons.
I re read your question with my emphasis on the carbon. I have one bow (recurve) that I could not get "hunting quiet". It has woven carbon on the back, glass belly. But my ILF limbs are carbon and foam, not woven carbon, and they are hunting quiet . Could be your noise is the carbon makeup