It's difficult if not impossible to increase your intake of omega-3 without increasing your intake of omega-6 even more. I am not sure that's worth it.
The O3:O6 ratio matters more. And with the right diet it's very easy to get tons of O3 with an excellent O6 ratio (1:4 vs. the 1:10+ of the standard western diet). Vegan with some seeds (hemp, flax, chia, etc.) and a fish oil or algal EPA/DHA supplement will do it quite easily. As long as you use olive/avocado oil over the O6-heavy cooking oils. Other diets are probably also capable of this.
The O3:O6 ratio matters more. And with the right diet it's very easy to get tons of O3 with an excellent O6 ratio (1:4 vs. the 1:10+ of the standard western diet). Vegan with some seeds (hemp, flax, chia, etc.) and a fish oil or algal EPA/DHA supplement will do it quite easily. As long as you use olive/avocado oil over the O6-heavy cooking oils. Other diets are probably also capable of this.