Got a source for that pilotchute? Pretty sure renewals can be done outside of member states.
Finding an IRE in the US could be more tricky; there were a small number dotted around (FL springs to mind) a few years ago but not sure now. Few ATO's in the US conducting EASA approved training have IRE's on the books largely due to the requirement to conduct the initial test in a member state, but you might be lucky if there is a visiting examiner in town from the EU conducting other tests for the larger schools.