I've a converter that will charge at up to 60 amps, an inverter that will charge up to 90 amps (and blow the in-line battery fuse!), and a solar controller that will charge at up to 40 amps. Battery bank is four T-105s. Although I usually leave the converter off, the other two are left on. There's no conflict between them and they don't overcharge the batteries. Once charged up there's only about 1 amp positive indicated on the Trimetric monitor and they do this all themselves.
'06 F350 TD, Softopper, airbags, AeroShield, coolant filter
'10 3665RE Hickory edition, wetbolts, Firestone LTs, Trimetric Battery Monitor, 4x100w panels & Morningstar TS-45, still tweeking.