I think that much more important than the brand and physical size is the amp-hour rating of the deep cycle battery. Usually a bigger case and heavier weight will give more reserve current capacity. There is no battery of this type that will power the AC , the half time oven, a microwave, or any of the multitude of 120V appliances we find in the current trailers. The greater amp-hour capacity means that the furnace fan will operate longer through the cold night when we have no shore power, and the water pump may still operate in the morning for the all important morning duties. Just the great number of 12V lights in the coach will draw down the battery, if they are not used in a limited manner.
My solution...is to add a 2nd house battery with isolation switch, and carry a Honda 3000 watt generator to be started in the morning. We have the Eagle Ridge 3400RLSA with the usual appliances, but like to do a lot of boondocking, so this seems to be the solution.
The bigger amp-hour ratings for deep cycle batterys are in the 105 amp-hour area. But if you are full timing, and connected to shore power, then the battery you use is of little concern. Your converter box is doing all the work to provide the 12V circuits. If you are temporarily drawing more 12V current than the converter can provide, you will be drawing some from the battery, but then recharging it almost immediately by the automatic charging mode of the converter. The items that may draw more 12V current than the converter box can provide at one time are likely to be the slide motors, the hydraulic pump motor, and the front lift jacks. Depending on how many lights are in use, the water pump cycling on may draw from the battery. Almost any size deep cycle batt will provide for these temporary overloads and the shore power will recharge the battery.
If you have gotten 3 years out of a deep cycle batt with "full timing" daily use, I think you have been served well by it. That comes out to less than 10 cents per day for the cost of the battery.
Paul in MN