Here are my 4 estimates from southern Ohio contractors -
None of them did a manual J that I know of.
Goodman 3T LP gas 95 eff - 2200
Goodman ARUF Air Handler 374316 3T - $2150
Goodman 3T 14 SEER Heat Pump - $2200
Or
Amana 14 SEER 3T Heat Pump - $3550
Or
Tempstar LP DLX95 Heat Pump - $4850
Or
Westinghouse 13/14 Seer Heat Pump with R-410
92% gas furnace - $5800