Do you SP (Sport Pilot)? If so there is no medical required. Only for LSA aircraft. 1340# max and only 2 seats, no more than 120 Knots at sea level, maybe more
EASA medicals are often tougher than US versions. The EASA regs are online. Check the medical section for disorders due to alcohol or other substance use. I'll save you a bit of the trouble to look them up:
You will find EASA just as hard on DUI. Plus to fly in the US on an EASA medical requires an EASA certified airplane, which is rare. Sorry fella, you’re not outrunning this one.....