Not possible. Without cheap labor that kind of work would either move off shore to where labor is cheaper, or it'd be automated.
My father lives in rural Alabama and is a proud red neck. But he's a transplant and a little less provincial than many native Alabamians. I visited him a few years ago and noted how many Mexicans and Central Americans had moved into the area, starting from basically none 20 years ago.
Most of southern Alabama and the Florida Panhandle is timber land, much of it owned by paper companies. As he explained it to me, at some point the locals became averse to planting new trees. It's back-breaking manual labor. Immigrants filled in the gaps until at some [inflection] point the work all of sudden became "Mexican work", which pretty much guaranteed no white or black native would ever work it again no matter the wage. In a very short timeframe you saw a large influx of Mexicans and Central Americans as the baton was passed from poor whites to poor immigrants. It was to my mind something of an oddity in the rural Deep South, at least since the last influx of Scottish and Irish a hundred-plus years ago.
If the immigrants weren't available, I have no doubt that the paper companies would have turned to automation. The machines they operate to harvest trees are marvels. A machine for planting saplings probably isn't that difficult; indeed, it probably already exists. Doubtless the days of manual sapling planting are already numbered. Nonetheless, the influx of immigrants was a small economic boon that the locals would have appreciated were it not for the typical racist and nativist sentiments almost universally held.
As my father put it, it's absolutely ridiculous that they look down on hard-working immigrants doing the work that they recently once performed but now feel themselves too good to do. To be clear, the unemployment rate in that area is much higher than the national rate, and always has been. But irony of ironies, the social safety net (such as it is in Alabama) provides just enough comfort that poor whites can get by without having to do such work. Mind you, "get by" is still incredibly impoverished, but in that neck of the woods expectations are much lower than most of the rest of the country.
Anyhow, I don't mean to argue with the notion that immigration has historically been used to suppress wages, and that it can contribute to greater income inequality. On the whole I agree with that--it historically has, even though I don't think it's a necessary outcome of immigration. But higher wages isn't always an answer. There are structural and cultural reasons that act as a barrier to natives (especially white natives) performing certain tasks, particularly in historically poor areas where both structural and cultural influences are exaggerated.
That said, maybe automation in this case would have been better than supplementing the unskilled labor pool. Maybe the wages paid to a few skilled machine operators would have been better for the community than the low wages paid to a large number of new manual laborers. It's all a very complex subject. What is certain is that there was no third alternative; higher wages for the manual labor was never gonna happen.