Template vs Framework. Need Advice

Hi, I’m an Illustrator and Graphic Designer looking for advice on the best way to build WP sites either by using a framework or VERY customizable template.

Right now I’m doing some research on the best tools to build WP websites on a reasonable schedule while keeping the balance between good professional looking websites, and development time. I’d also like to keep a certain degree of originality in my designs and if possible, avoid using a premium template only to change colors or fonts. I want to be able to define layouts, menu position and even Jquery effects, if that makes any sense.

Any advice on frameworks, methods, etc. will be greatly appreciated. Thanks!