Yep, echoing that it sounds like "silent" reflux. For me, it's more of a citrus or chlorine taste. Totally weird until you figure out what it is.
I never have heartburn, either, so it took me a while.
What helps me most is being upright (I have chronic illnesses that keep me reclined most days), not drinking carbonated beverages, eating small meals, not eating after 5 p.m., digestive enzymes, digestive bitters, probiotics, and if all else fails, then Alka-Seltzer Gold.
Good luck.
Sara (laryngopharyngeal reflux, Lyme, ME, HPA axis dysfunction, fibro, POTS)