I was going to suggest canned air in the direction of the flow, however, it sounds like you did that with no success. Therefore, some level of obstruction appears to be populating the orifice / check valve. About the only solution I see is to drip carb cleaner / parts cleaner into both ends, plug the ends and let it soak for a while. Then my concern with is, what is the check valve made from? Surely not some composite, plastic, etc however who knows what they use? Can it tolerate the chemicals? When you tried to blow it out, how much air did you use? One solution I use on guns, gun grips, sensitive / non-sensitive items is mineral spirits. Great cleaner and I have never seen it mess up anything. I would let the channel soak in mineral spirits for hours and flush with 100 + pounds of air. If that does nothing, I'd repeat the process with a stronger chemical, with spray carb cleaner being the weakest of what I'd use. Was this clog part of a problem you've been addressing or with many of us, came about as you were doing some other work? Lastly with all my cheap suggestions, I would be open to using a heat gun or hot-arsed hair dyer on the channel followed quickly with chemical flush, air, etc.