Dan,
A question like this is going to get responses all over the map. Understand that generally, mainland players gravitate to Standards (and that "classic" `ukulele sound), while here, we gravitate to low G Tenors. Again, generally.
In Hawaiian music, its not odd to have an `ukulele punching through and in line with the rest of the band. If you are looking for something to blend in on a lower level, a low G Tenor, or a Baritone. The Baritone is tuned DGBE (sound familiar?), so you'll go right into it. A Standard
may sound like, hmm, a Subaru WRX with the BIG spoiler on the back, you know, looks like it was added on rather than designed to be there in the first place. If you listen to say, Makaha Sons of Ni`ihau, you'll hear Iz's Tenor right up there, but nothing overpowering (he plays a Tenor).
At the $75 range, you are looking at a cheap high G Standard, that may potentially punch through at a range that is going to be overpowering. I would search in your area and borrow someones at least midrange instrument (like a factory Kamaka, KoAloha, Kanilea) for your track (since you need it right away), and then go from there. If you were in Hawaii, no problem with that hunt.
I've said nothing about volume or projection (for now), because you're doing studio work. I would recommend focusing on what will give you the right tone and timbre for your arrangement.
There are many more vidoes you can see, but here's a "slow" one:
http://www.youtube.com/user/Kekani427#p/u/12/0OHE5ugqwd4
Keep in mind the `ukulele Ramon is playing is a custom 6 string, with Octave G and double high A, so its actually a bit more "punchy" than a normal low G Tenor, but not as high pitched as a Lili`u tuned 6 string. He also plays an alternate tuning (ACEA), so don't look at his chording too much.
Just my $.02. - Aaron