Look at materials science & engineering. I will cheerfully admit its engineering for those who can't do / don't like maths.
There are some very mathematical areas, such as semiconductor materials and quantum theory, but options means you can mostly avoid doing all but the basics of those. (I did, and studied at a very well regarded uni)
Plus, many courses also have modules on biomaterials, which is fascinating and would compliment an interest in biochemistry I think. That means stuff like improving the materials for hip replacements, stents etc, but also looking at targeted drug delivery systems.
Plus there is a major shortage of graduates in the subject, so good job opportunities and salaries. As a wider subject area, we work in everywhere from packaging at Unilever, catalyst science at Johnson Matthey, nuclear materials at Sellafield, Aerospace materials at Rolls-Royce, biomaterials at Johnson & Johnson, oil & lubricant technology at BP, heavy forging production at Sheffield Forgemasters, R&D steel alloy development at Tata, composite development for F1 & other sports... And all of that (and more) is just what I can think of off the top of my head in the UK.
It really is a fantastic subject to start off a career and I find most people in it have come to it by doing a PhD after a chemistry or physics degree. Because I did the subject at undergraduate level, I have a better grounding and am seen as having more experience than those with a niche PhD is one area of materials.