Unless your cells are widely out of balance, then limiting the charger's voltage to equal John's suggestion of equivalent of 75%-80% SOC voltage should be fine. It is highly unlikely than an individual cell would trigger a BMS cell overvoltage condition (e.g. > 3.65V) if the 16S pack is being additionally topped up to (say) around 55V.
Not meant as an attack here, but your understanding of LFP battery/cell behaviour is letting you down ...... I'm interested in how you determine the voltage of an LFP pack @ 75% to 80% SOC?
4 cell groups in series, balanced properly, not just all reaching 3.4vdc together, anything under 0.5 amp active balancing current and you better have a good BMS that actively monitors cell voltage and cuts charging if a cell goes over 3.65v .... sort of like herding cats
8 cell groups in series, after proper cell balancing, 5 amp capable active balancing if you don't have a smart BMS system that can cut charging if a cell goes over 3.65vdc ...... like herding cats using cattle dogs
16 cell groups in series, even with proper balancing and a 5 amp capable active balancer, you will need a smart BMS that can control charging guided by cell voltage ... or you will end up with damaged cells ..... like herding feral cats using wild dingoes ..... totally uncontrolled chaos ......
More than 16 cell groups in series, you wanna hope that BMS is up to the task, it will get very expensive and remain a very unreliable battery pack otherwise ......
The reason, the LFP cell voltage curve is virtually flat at lower C level charging, after 3.45vdc, the climb starts, after 3.6vdc, the graph line is near vertical, stop charging then and stay off until the high cell is back below 3.45vdc, then you can resume charging, this is how proper top cell balancing is performed and this ballet continues until the battery voltage reaches an average of 3.5vdc across the entire pack, only then can the charging voltage drop back to a balanced 3.45v per cell if you want to keep the battery at 100% SOC ......
It cost me well over $10,000 in cells back in 2011 to learn what I'm sharing with you for free ..... if you have money to burn, do your own experiments, but please keep us informed on the cycle life and proper capacity testing, discharged from fully charged balanced 3.5v per cell, down to 3v per cell min in 2 hrs, while still under the full load, the load should equal at least half of the batteries advertised capacity ......
We now have a number of system still holding 100% capacity after 12 yrs of 24/7 use ..... not all mind you, some people still think they know more than the person who did the big $$ testing and designed the system .....
T1 Terry