That would work fine, but it will seriously complicate the build for a minor benefit. The blaster would be almost worthless without the extension.
I've been told that Rayvens and Rapidstrikes are good candidates for afterburners because of well-placed dead space in the shells.
If you're considering building an afterburner into a barrel extension, you're basically forced to use a Hyperfire or Stryfe because their flywheel cages are directly connected to the barrel extension adapter.
I was actually considering using a Hyperfire since I own a few from some weird circumstances and whatnot.