I have random drug tests for a DWAI is it better to miss the test rather than risk testing positve for alcohol

Probably, but neither is real good. They will assume you were drinking.

Mr. Forslund is correct. You need to abstain completely. If you are having problems, please consult with an attorney. You are likely risking violating terms of your probation and could potentially be facing a jail sentence if you continue to have problems. Best of luck. John Buckley

Oftentimes, a missed test is considered to constitute a failure (or positive result). If possible, sobriety is always your best bet.