> you put more hydrocarbons into making them than they will generate in their lifetime
They don't get used to make hydrocarbons. The stuff they're made from doesn't have to come from hydrocarbons.
In terms of energy, the same point hasn't been true in a long time (last I heard the time PV systems needed to pay off their own construction energy cost was measured in months, and that was a decade ago).
> and you don't get to pick when they generate
Fortunately storage and transmission lines exist. Fun fact: the material cost of building a global-scale 1Ω circumglobal power grid is a rounding error from the sale price of a year of current global coal mining (assuming almost all of the coal is the low-grade cheap stuff, so less in practice).
Politics will probably prevent that — if you think you can solve the political aspect of this, by all means defeat my cynicism — but technologically it's sound. It is, after all, always sunny somewhere on the planet.
> Hydro is ok, but it's fully installed globally
Also wrong. The unused places may be higher cost or lower quality, but plenty of places do exist.