I am not sure what you mean with this price jump. I guess you assume everyone suddenly getting a basic income? That could be problematic, yes. But you could introduce it gradually so that the markets can adjust. And in ideal market conditions in the end people would earn more or less the same because the basic income would decrease the wages because employers know you get it and there will be people doing the same job for less now because they have this additional income.
Concerning the problem of some people being forced to do work they wouldn't do. I don't see this problem. In contrary it would simply force people who want to have shitty work done to pay a lot more until people are willing to do it voluntarily. It sounds to me similar like the slave owners argued it is economically impossible to do all this farming without slaves.
Of course things will change and might be worse for some people. But economy is not a natural law. To change rhis things is never impossible. The only question is what will be the consequences (for those opposing the changes).
We decide how we set up the economy, what we allow and what not, and the market will adjust accordingly. Do we want to have slaves and protect the lavish lifestyle of the slave owners or not? Do we want to have homeless people or people being forced to do jobs they detest and protect abusive employers from free market conditions?