Technically impossible. Navalized planes always have some design compromises related to this that Air Force would prefer not to deal with, usually related to structural weight\payload. There is a reason why F-35, despite being newer, is not as stealthy as F-22. The surface coating maintenance for F-22 is ridiculous, and doing it in the limited and more challenging conditions of carrier operations is practically impossible. Basically you could have had a stealth F-22 or naval F-22, but not a stealth naval F-22.
I was aware of some problems which would force Naval squadrons to rotate out for ground side maintenance but since they did that anyway, I just figured it would have been an additional maintenance duty they would have performed once they were shoreside.