I would strongly advise that you go and buy some Heavy Single hours.
Cessna 200 series time is highly regarded by charter companies.
There are many flying schools along the east coast who can offer a heavy single endorsement and consequent consolidation of those hours with highly experienced instructors. (ie dual navigation exercises)
Once you have 5-20 hours of such experience, update your resume with a separate column of "Heavy Single hours".
You'll be a shoe-in
