Well, of course 350-CFM per/ton is usually close to the minimum even in high humidity conditions.
First, check the ducts for air leaks & that the blower wheel blades & evaporator are clean; plus that the blower is set on the correct speed.
The indoor evaporator can only absorb the heat that is flowing through it; when there is insufficient airflow the system will be operating way below the Rated Btuh of the equipment.
At 50% indoor or lower relative humidity the system may not satisfy the room TH, though it would with proper airflow.
I like 400-CFM per/ton or more; even in humid 'high' latent 'total load' conditions, though the sensible is higher at design high-load conditions on high-speed it moves a lot more air through the evaporator coil, - & I find that my window units bring the humidity down even faster on the highest fan-speed setting!
That means they are doing more total heat removal on the highest speed. One of the main reasons for slowing the blower speed is 'to get longer runtimes during less than near design load-temp' conditions.
Yes, 300-FPM or lower is very common & 'one of the many reasons' why the A/C doesn't do its job right.