I've never heard of BYU's program specifically. If I saw it show up on a resume, I'd probably lump it in the Arizona, Miami, Georgia, etc pile mentally.--third tier+.
I absolutely wouldn't be giving the program its due (which isn't fair), but I'm not likely to stop and jump to BW every time I see a program I haven't heard of.
The good news is I just went and looked it up, so at least one more person knows it's probably a top-50 type program.
Still, if it's cheap and you think you'd feel more comfortable there, it's definitely worth consideration.