The term converter can be confusing because because some people use the term to refer to a combination charger/inverter unit or 12V only power supplies. Converter size shouldn't be based on your trailer loads but instead on the battery size, if you're refering to a battery charger. Most battery manufacturers recommend the converter be sized at 10-13% of the battery capacity for maximum battery life.
Trojan Battery Information
Some good converter names are:
Battery Tender
Promariner
Progressive Dynamics (PD)
Iota
Xantrex
Most RV converters (PD, Xantrex, Iota ) start at 30 amps which is a little big for your battery and kind of expensive. The good news is that they are all 3 stage smart chargers and would work just fine even being bigger than the recommended size.
BTW, this is where some people get sideways when sizing solar arrays. Most PV forums will recommend a 10-13% of battery capacity size for the array, which is usually pretty big/$$$. It's more important to size the converter at 10-13% for max battery life for teardrops that see mostly weekend use.
Bruce