Have a go with lemongrass - grows from seed as easily as lawn grass... just likes a well drained quite open soil - plenty of sand/perlite. Hardy down to -10 I think (sorry - that's obviously in centipedes!)My only issue is that I'll have to adapt a few ingredients.
For example, I'm allergic to shellfish, so no paste, or fish sauce. So I'll have to use soy or perhaps Maggi (which is stronger) for that hit of salt.
Lemongrass too is next to impossible to source, so unless I grow loads and keep it in the garden I'll have to use lemon zest.
Every thing else is sorted though.