Why the deal about 4:1 baluns? Cuz they're usually 'simpler' to do, sort of, not as many wires to keep track of. Are 2:1's any harder to build? Not really, just takes longer, at least for me (that's a guess cuz I ain't made one in a lotta years). Best bet if you really want to know what you are doing is to do some of that reading, finding the time/book/whatever isn't the easy part. There are several books around that tell more than you'll ever want to know about torroidal and other baluns.
That electrical 1/4 wave 'Q' section probably is the easiest solution. The type coax needed is typically available. The only 'trick' to them is to keep 'things' within their capabilities, as in power put through them, there are limits.
They do work! May not be the 'best' solution in every case, but then, this isn't every case, is it? As long as that impedance transformation is done half way reasonably, that's really all that's necessary.
"Easy does it.', in almost every sense of the phrase...
- 'Doc
(all puns, innuendos, whatever, are intended... even the ones I didn't see.)