I can give you some personal experience on this matter. I was arrested on suspicion of DUI during holiday weekend police saturation. The case was dismissed because I was not drunk. No trial, no lawyers, no pre-trial intervention. No charges whatsoever. I still had to write lengthy handwritten statements about this incident. I still had to check the "have you ever been arrested" box. Outside of an 'infraction' ticket and 7 year old $100 speeding ticket my record was perfect. However, I still got dinged twice for SWO, NFO, and SNA. I'm not saying don't apply, but be realistic, and have a backup plan. Consider other branches as well. If you do go forward, study very hard and score over a 60 on the OAR. It seems like merely being accused of DUI, regardless of whether or not you were proven guilty is all they care about. You can get charged with a DUI leaving choir practice, and it will still look bad. Just the way it is I guess.
According to their website you have to be commissioned before 35, so yes they seem more flexible. I don't know about how hard they would be selection-wise. Based on conversations with the recruiters in my area, it seems they are at least as selective if not harder than the Navy. When I spoke with them they were looking to fill only one or two designators. I think Army OCS has the highest selection rate and USCG the lowest.