Am on probation and subject to EtG alcohol and drug test at random... My question is how much alcohol can be drunk before showing up in your urine?

Seriously if you are considering this then you have a more serious problem.
Follow the judgement and you'll be fine.

Probation means NO drinking or doing drugs. That's why the testing is random, unscheduled, so you don't cheat.

When you are tested for EtG, your urine is NOT being tested for alcohol. Two totally different animals. EtOH disappears much more quickly than EtG.

"EtG, or ethylglucuronide, is a byproduct of ethanol (alcohol that one drinks) and glucuronide a common biological compound made in the liver that binds various toxins and drugs in the body that allows them to be excreted in the urine. When someone drinks, even relatively small amounts of alcohol, EtG is formed and can be detected in the urine."

As long as you don't consume any alcohol within 4 full days of a test, you should be in the clear.

As long as you don't consume any alcohol within 4 full days of a test, you should be in the clear.
But with random testing, the OP can't plan ahead with drinking.

But with random testing, the OP can't plan ahead with drinking

That was kind of exactly my point.