you are supplying a bank of 8 strings of 10_leds_in_series from 37V.
I see the strings cannot be supplied individually, as the top anodes are all on the same node.
Its 7 amps, so you need a synchronous converter i'd say, or a big heatsink on the diode if not.
So its either synchronous buckboost, the only controller I can currently think of for that is the lt8705.
..or a synchronous boost followed by a synchronous buck. (the sync boost being voltage regulated, the sync buck current regulated.)
..or of course if you didn't want to go synchronous, then a couple of paralleled current regulated sepic converters would do it, say 3 or 4 of them.
..unless you don't have size constraints you could just use through hole components, heatsinks and do the job with one sepic....id do it uncoupled...remember the LLC resonant frequency shouldn't be near the feedback loop frequency of the sepic....also the ripple on the sepic cap should be <5%, also the sepic cap needs a rc snubber across it, r=rt(L/C) where L = the sum of the two L's. Remember that the fet and diode currents will be exactly the same as they would be with a 1:1 flyback with the LPRI and LSEC being half the value of your individual inductors as you use in the incoupled sepic version.