Deductions & credits

I have the same question as the OP, I wonder if I can fund my cost-sharing monthly "premiums" (aka shares) with my HSA, not the other way around. I know I could still utilize my HSA funds without HDHP.  
Cost-sharing ministry is technically not insurance, we are billed as self-pay. That being said, monthly "premiums," paid with after-tax dollars, are technically NOT ruled out as a qualifying medical expense right? I called my HSA member services and she had no clue what cost-sharing ministry is and if my premiums qualified as a medical expense.. Any ideas?