I realise you've finished now (and it's looking good, I love a red Precision 😎), but for anyone else looking to do similar, calligraphy ink is a very good wood dye. Huge range of colours, cheap, and water based so, as @Manton Customssaid, an oil based finish won't affect it.
Seeing @Andyjr1515 use inks led to me trying trying them and I'm glad I did. You can layer it up to a degree and put more on the edges to achieve a sunburst type fade, even blend different colours.
The horns and along the centre laminate were put on slightly heavier.
And here it is lacquered... And yes, that darker laminate bugs me that it wasn't put in the centre when being built, why? 😁