Well, according to the Big Bang theory, you don't need to get a line of sight to a star - the light of the decoupling should fry you - it occurred everywhere at about the same time, so when you get back to looking at that time, you're looking at a big hydrogen emission line, which is HOT.

Of course, this IS what happens when we look at the cosmic microwave background - we're just not fried by it, due to that whole redshift thing.