In theory a 5" woofer will go up high enough to match up reasonably well with most tweeters, but you'd want to know what its frequency response curve looks like so that you can try to avoid or minimize any nasties. Ideally, you'd choose woofer and tweeter based on how well they will work together.
In the absence of any data on the woofers's frequency response, I'd say try to cross over as low as your tweeter will safely allow and as steeply as your budget and crossover knowledge will allow. Generally tweeters are better-behaved at their bottom end than woofers are at their top end, as long as you don't overdo it and stress the tweeter.
In order to begin to design a decent crossover, you will need the frequency response curve and the impedance curve of both woofer and tweeter.
One other tip: Let the tweeter's response sag by two or three dB in the octave or so above the crossover frequency. The tweeter will have a very wide radiation pattern just above the crossover region, and this response dip will help compensate for the extra energy it's putting out to the sides. Credit to the BBC for coming up with this idea way back when I was a kid.
Duke