Check out Gary Resya's Site
BuildItSolar.
The
Solar Site Survey seems to have links to most of the resources you need but he also has efficiency calculations for panels that he's build and probably others - there's a load of information on the site. The solar data includes data for various collector angles. I'm not sure that you have the optimum angle for summer collection, which is all you're interested in. I think that latitude is a compromise for year-round collection.
I'm no design expert, but it would seem that you need some significant storage somewhere since your demand is before you'll get any significant solar help in the morning. I think that you'll need a closed system and a heat exchangers since I'm not sure that you should be pushing the shower water through the panels for potential health reasons, but I wouldn't take my word for that.
If you're not pumping at night you shouldn't loose much heat.
It should be a good project since you're looking to heat the water when you have the most sunlight, the opposite of most systems, especially space heating systems.