jj, You can use various timings fro the hover cross depending on the exit you want.
Standard waltz timing to follow with a weave or weave from PP, or a closed wing or for a continuous hover cross into 456 of a reverse.
Or syncopate the entry 12&3,123 to follow with normal reverse figures.
As you say, play with it and see what you like.
While you are playing, try this one to see if you can do as well as your partner....
1-3 natural turn, double natural spin with man dancing lady's steps and vice versa, man LF back into chasse to R. Follow with travelling contra-check and weave from PP.