Since the rest of your amplification chain is ANK, it makes sense to stick with ANK. There is a lot to be said for system synergy. Companies tune or ‘voice’ their components to compliment each other.
Mixing and matching components to find this synergy is a hit and miss process.
That being said, swapping out an ANK DAC with something else might be the least impactful (compared to your other components) with respect to system synergy.
If you go with a non-ANK DAC, I’d recommend auditioning a Lampizator DAC. You should be able to find a used one within your budget.