Before I upgraded to LifePO4, I looked at several types of batteries. If you're settled on lead acid technology, Jack is right. Marine is the way to go. AGM is useful if you want to keep your battery in an unventilated compartment, but it's not needed since we have the battery box in the a-frame of the trailer. AGM can also be discharged more than your standard deep cycle. Steer clear of dual purpose batteries. They aren't true deep cycle batteries.
A novel approach to lead acid is using golf cart batteries. They're typically 6 volts so you'll have to wire two of them in series to get 12 volts, but they're designed to discharge and recharge frequently. Some people swear by them, though I don't know anyone personally.
However, LifePO4 batteries are cheap enough now that you may find it worth the investment. Lead acid has a short life in comparison to LifePO4 and cannot be discharged as deeply. It is recommended to discharge a lead acid no more than 50% while LifePO4 can typically be discharged 80% and some brands even lower.
For the a little more than the cost of two 100AH lead acid batteries, you can replace the factory power converter with a newer model capable of charging LifePO4 batteries and purchase an economical 100AH LifePO4. LifePO4s are stated to have a much longer life than lead acid batteries. Another advantage is you'll cut your battery weight by 2/3's since they're much lighter. My 100AH LifePO4 is about 25lbs, versus two 50lbs lead acid batteries. So, for me, it made sense to upgrade the trailer's stock power converter to a newer model and install a LifePO4.
If you upgrade to LifePO4, you're eventually going to run into posts about needing a DC-DC converter. I'm not sure it's "needed". Might be desireable. The typical concerns touted are: 1) It'll over work your alternator because a discharged LifePO4 will draw much more amperage due to lower resistence, 2) Because the alternator can't always provide the higher charge voltage the built in BMS will shutdown the battery, 3) the alternator will over charge the battery. I found none of this to be true. I have a smart gauge on my truck and I can see the voltage coming from the alternator. I never saw long periods of high voltage. My battery never shut itself down. As for potential of over charging, the battery's BMS module will keep that from happening. I went on a 5400 mile trip without a DC-DC charger and had no issues I can attribute to not having one. Whether my truck's alternator really charged the LifePO4 while mobile, IDK. If you're concerned about it, you can disconnect the pin on the 7 blade connector that provides auxillary power to the trailer.