Again, it's a question of what Bede means by a "sphere". In the passage cited by Pax, it does in fact seems as if his notion regarding the sphere includes the dome.
Given the way that the passage I quoted is sandwiched between two large citations from Pliny (which St. Bede alludes to as "in a book which is non-religious, yet not to be condemned") it is quite clear that St. Bede means by "sphere" what Pliny means by "sphere". There is no question that Pliny does not include a dome.
Pax quoted a reference to "heavens" that he claims means the atmosphere surrounding a flat earth, but that interpretation does not work in context. This "heavens" clearly refers to sphere of the universe which contains the celestial bodies which orbit the earth. This is the classical model in which both the earth and universe are spheres, with the earth placed at the center of the universe. This model does not include the domed flat earth proposed by Pax.
As I said, though, I'm not too concerned about it. People can have different opinions regarding matters of science, provided they maintain their reverence for Sacred Scripture and uphold its inerrancy.
I agree that people can have different opinions regarding science in a situation like this where there is no
de fide Church teaching. I think, however, that looking at the views of St. Bede and other medieval Catholic thinkers is helpful. Many of us are aware of evil influences acting on and through modern science, creating some suspicion around its conclusions. The science of medieval Christendom, however, developed in a time of Catholic influence. Typically, the scientists of this time were clerics. We even have examples of Doctors of the Church, like St. Thomas Aquinas, doing science. For these men science was often an exercise of faith in God through studying His creation.
I find it very reassuring that the Ptolemaic model became the dominant cosmology during the Age of Faith (a name I prefer to "Middle Ages" which comes from the so-called "Enlightenment"). This means that I can accept that the earth is a sphere without worrying about the elements of corruption in modern science. I suspect that this legitimate concern about modern science is what leads some traditional Catholics to the flat earth position because they are unaware of the long history of men of faith accepting science that recognizes that the earth is a sphere.