Make a website for your own personal career success. If the company you work for are run by timid managers who are afraid of this and that, better look for another dynamic company unless you find the work is relaxing or no other place to go. Or else think out of the box make your own website to promote your products and service indirectly selling your company products. I think it should work too.
Make website to scout for business
Can't be denied. Make website for yourself is good in that it helps you to secure new inquiries. Then after that it is entirely up to you to follow through to secure the business. If your company is not keen to make a website, it is to their detriment. So what can you do? Of course company policy is to be followed but that's on their side. There is nothing saying that you can't make your own website for your own self promoting your personal services to sell company's product.