The NetSurf browser the author tried out has multiple frontends. Two run on OpenBSD that I know of, the “default” GTK frontend and an SDL‐based framebuffer frontend. As was pointed out, GTK has a rather sizeable number of dependencies; building the framebuffer frontend instead would save a lot of time.
The wsconscfg problem with multiple screens, whatever it exactly is, is decidedly odd. According to this, the display is being driven as smfb0 in what is largely a dumb framebuffer mode, no acceleration, no GPU, no fancy high jinks whatsoever. wscons/wsdisplay should have no difficulty with multiple screens on that sort of thing.
I think because it's RMS champion of digital openess using using an archaine Chinese laptop, it's the dichotomy of China providing a product that's essentially more free (of binary blob firmware) then a western equivalent laptop. Take heed and dispare oh ye providers of win modems!