A few options here... I'm nowhere near Lake Charles, but if you're ever in the Monroe area let me know. I'd be happy to help you as much as I can.
Also, the Louisiana Callmakers & Collectors Association is having their annual get-together in Pinevile on 4/29/17. There'll be a lot of seasoned callmakers there who could give you advice.
Lastly, post up some pics here of your inserts (with and without the reed). You'll likely get a lot of feedback to get you pointed in the right direction.