Anyone who tells you to be dishonest on an application is someone whom you should disregard in future. Don't do that.
The FAA doesn't conduct "background checks" for medical certificates. Your records are checked against driving records. When the FAA looks at your history with regard to driving under the influence, your'e asked if you've ever been convicted. This addresses motor vehicle actions which include suspension or revocation of driving privileges, regardless of whether a conviction has taken place.
If you lie on your application, it may come to light in the future, and that's a separate offense which could be very damaging. Far better to have items reported on your application, as every medical application after that is addressed as "previously reported, no change."
Although all questions are submitted online, a .pdf example of the explanations for what's on the form is here:
http://www.gleim.com/public/pdf/ltf/faa_form8500.pdf