You can have good, or inexpensive, but usually not both. Winches are fairly high draw. My own personal choice would be an SiO2.
But if the existing battery passes a load test, I'd continue to use it as in the past.
Regards, Don
My ride is a 28 foot Class C, 256 watts solar, 556 amp-hours of Telcom jars, 3000 watt Magnum hybrid inverter, Sola Basic Autoformer, Microair Easy Start.