Except you have very few ships. Under a half dozen. With that kind of numbers, any logical government wouldn't risk one to irreversible radiation contamination. Try vehicles, thrusters, engines, etc.
If you can make efficient, competitively-priced bycorium-efficient engines and thrusters, as well as advanced electronics, you'd own that section of business.

I've got larger amounts of Bycorium, kinetic weaponry, and stuff like.
Oh, and tourism.