<p>Several UCs fit your criteria. UC Davis has adequate engineering, is close to the Sierra, and is a bikers paradise. UC Santa Cruz is in the mountains and gorgeous. Don’t know the quality of the engineering school.</p>
<p>Rose-Hulman is in Terre Haute Ind, which is very close to some great mountain biking areas in Southern Indiana. Southern Indiana, Northern Kentucky while not mountainous are very hilly.</p>