I generally tend to like typography-focused, grid-like designs for content-heavy pages. I also enjoy bold, colorful designs. To me both styles, as well as a combination, could work for my brand.
I think it's important that you as a designer work in a style that you're really comfortable in, and able to deliver your best work. I'm much more interested in high-quality, versatile design that you as a designer can be proud of than having super specific ideas where this should go.
There is some existing material: Logo, business card, envelope, etc... I've attached a PDF of that to give you an overview of the general feel of the brand. The website is obviously more important and visible than the few things we already have, so feel free to branch out from that.
Please make sure you use the right fonts - these are already defined in the attached brand guidelines, and unless there is a really good reason to change them I'd rather stick to them.