That's not the only solution. Texas is big enough that a lack of wind across the entire state is even less likely than the weather they've been having. Wind has held up better than oil and gas there, and properly weatherproofed wind would be even better. Texas also has rivers, and waves. There's still untapped potential in energy storage. Most significantly, better interconnection to other grids would be pretty helpful but has been foregone to protect Texas suppliers' profits. There really doesn't need to be that much non-renewable baseload generation in Texas.
Also, why do you (and others) assume that anyone who mentions unsolved problems with nuclear must be flat-out against it? I for one am not. It can be part of a complete energy solution, but until some of those problems are solved it can't be a primary solution by itself. What I object to, mostly, is not nuclear power itself the simplistic "atomic energy please, this is a solved problem" hand wave. Contrary to the HN ethos, not every problem has a simple technical solution, and people who point that out wrt energy are not necessarily shills or dupes of the oil industry. It's a matter of being empirical about things and working them out instead of turning technologies into new religions.