The Traditions and the other entry level kits have way way way too much wood on them. Without pictures it's hard for us to render an opinion on whether your gouge indeed went so deep that the removal of additional wood wouldn't take it down to a more proper profile and dimension.
On my current build there was a nick (that came that way in the blank from the saw mill) that occurred right in the tang area that traversed right in to where the metal for the tang would be, and all the way across where my carving would be. When I inletted the tang, sure enough there was a big hole in the edge of it right up to the metal of the tang. Drats! What was I to do? . I thought sure I was somehow going to be just a scootch short of wood to so what I wanted to do in that area. So I smoothed out the saw nick, squared everything up, and put in a curly maple splice as tight as I could, so the glue line wouldn't be obnoxiously huge. Then I rasped and sanded the splice down to be even with the rest of the wood so I wouldn't have to worry about planning my breech area profiling and carving around a big hole in the wood, and potentially get a big case of the uggo's there. You know what happened after that? As I moved along in the build, and was removing wood from the tang area, and more metal off the tang to get the wrist nice and thin, I removed the entirety of the splice and material below it. All traces of the splice are now gone. Now you would never know a splice was ever there, because, in the finished product, it won't be.
If you do this same thing with your own boo-boo my guess is that once you actually get to the right degree of thinness for the gun, you'll be below where the boo boo happened.
P.S.; I also suggest using rasps like those 2-handled Japanese rasps for large amounts of material removal. They work more slowly, and are more work (everybody likes hammering things) but the controllability factor is far greater, especially for someone working on their first few builds.