Consider doing a multi/IR add on??
It may be possible to get a multiengine rating which conveniently circumnavigates you having to get a Private Pilot's Certificate (remember no licences in the US)
You get to log the PIC time during training as being under supervision and you can then get an Instrument rating added on at the same time as well if you do the specific training required.
It's a more expensive route to getting fixed wing ratings but it's definitely much quicker!