since your medical bills can be paid through her Healthcare FSA you would have non-HDHP coverage
you can not contribute to an HSA in this situation.
for you to be able to contribute to an HSA you would need to be covered by a HDHP (could be hers - the rule is if one spouse has HDHP family coverage both have HDHP family coverage) but your spouse could not contribute to a Healthcare FSA.
with family HDHP coverage and no disqualifying coverage, the maximum family HSA contribution could be made.
