Exhaust sounds like sheeeetttt!!!
https://ls1tech.com/forums/generation-iii-external-engine/462478-pics-completed-true-dual-over-axle-exhaust-w-edelbrock-lt-s.html
there is a video also.
You only way to rid that is to get a quieter muffler like a Corsa or SLP DD.
That's why I left my DD in place after I did the cam, headers and off-raod y. If you had cats it would remedy the issue, but that would choke the cam.
My SLP sounds really good, and gets beastly at wide open throttle. It still has a mature sound to it. I guy told me just yesterday that he hasn't heard an exhaust note like that since 1972!
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Check the link to my exhaust setup in my sig, tons of pics, videos, and info on there. The problem is your catback. The TSP rumbler system is almost identical to an SLP Loudmouth.
LT's + ORY + Loudmouth = one of the most hated LS1 sounds ever.
It must have been REALLY raspy before! Like I posted above, my friend has the same setup. Longtubes, o/r Y and dynomax bullet, and it's EXTREMELY raspy! IMO, you'll need more than a bullet muffler to calm the rasp.
My former camaro's single/y-pipe hooker catback setup always had a little rasp until i put in cats. 




