Hi! I'm new to the forums, so take my advice for a grain of salt...but I'm wondering if he really is hungry at that 3 am feeding because you aren't getting enough feedings in during the day? My LO is only five months, but from everything I've read, breast milk is still the primary vehicle for nutrition throughout the first year, and it packs in more calories than they can get from solids at this age. In Kathleen Huggin's The Nursing Mother's Companion, she says babies 6-12 months should have SEVEN feedings a day (that may be a bit much, but I would think they need at least 4-5?).
From the description of your EASY routine, it looks like you only have three BF sessions during the day (although I could be misunderstanding something). So instead of adding in a dreamfeed at this late stage, since your LO should be physically capable of fasting through the night, you could try adding in an extra feed somewhere else during the day. Once you feel like he is getting those extra calories, or perhaps simultaneously, you could try weaning off that nighttime feeding gradually by decreasing nursing time a minute each night.