Whiter than white hat means you want to stay all ethical and relevant. Here is my idea to go with.
White hat means you links should be natural and relevant to the website (if not all at least many). In order to get relevant domains, I would advise you to get list of blogs and start promoting your website through content.
- Building link through offering free content to bloggers will allow you to use diversified keyword anchor text and you will be able to use all keywords as an anchor text on different blog posts.
- Why not make a badge or something (that can easily fit your industry as far as I think) and encourage people to share on their website this will allow you to get good amount of link without much effort.
- Building a white paper (downloadable) that define the need of your services (non promotional) will encourage people to download your white paper and may link to you and talk about you on social medias.
White hat link building do need time and effort but above given techniques can go long term as Google love them and no sooner coming update is going to hit this negatively.
#justathought