They will definitely do better outside.
The only concern I have, is where did the plants you have now start their life? If they started from seed on your property, they should be completely disease free, and you could put them anywhere. If started elsewhere, though the risk is small, they might carry a tobacco disease, so exercise caution in placement. Tobacco wants full sun, and the warmer overnight temps will help. But if you are experiencing similar conditions to here, that shouldn’t be a worry. First risk of frost is the other concern, they will flower as day length shortens, and want frost free till early - mid September, at which point the plants can be cut and hung to cure. Your greenhouse is probably the best place to achieve that, as they need a good humidity and temps to yellow rapidly. All that info should be available in a Google search.
For outside growing, I would supplement with a balanced fertilizer, as the plants are vigorous growers, and will respond well to additional nitrogen and phosphorous.
Similarly, I would also exercise caution with potatoes and tomatoes up on your land, bring in only certified potato seed, and start your own tomatoes etc from seed, garden centers are a major vector for blight, and it would be a real shame to bring something in to your completely disease free corner of heaven.