You don't need a higher amp alternator. At best, you are probably using maybe 100A tops at full load.
The issue is pulley RPM. The alternator does have a minimum RpM required to output 12v. The underdrives have slowed the accessories down. You need to spin the alt slightly faster to compensate.
Stock Sn95 pulley is about 2.75". ASP makes ford alt pulleys in 1 7/8", 2", and 2.5" diameters for about $20. You can also use a 2" fox mustang alt pulley. Keep in mind with these pulleys you may need a 5/8" ID washer as a spacer to keep the pulley from hitting the alt case.