Mike, You'll still need to install a method to re-charge the battery bank. Whether you decide to swap a like for like converter or go to the extreme that I did. I HIGHLY recommend you begin researching more advanced charging systems that use a multi-stage recharging system. The stock converters in our TT's do not do a very good job unless they have been modified to a more advanced multiple staging charger (bulk, absorption, float & equalization). There are many manufacturers of "CONVERTERS" that have the more advanced, multi-stage charging capability. That is where I recommend you start.
The other mod I would very highly recommend is a true battery monitor of some kind. These are very easy to install. See my pics from the Tri Metric 2025-RV I installed. http://www.jaycoowners.com/forums/members/30509-albums488.html
A battery monitor will give you specific detail of exactly how much power you have left in your battery bank as well as allow you to monitor how many amps you are using each time you use any device in your TT. The battery indicator that comes with our TT will give you a false read of the batteries being full, when in fact they may indeed have a charge of 13.5 volts, but not a full capacity of all your amps. I installed my monitor prior to installing new inverter/charger. I was shocked after one weekend outing to find that my stock converter took nearly 3 weeks of being connected to shore power to bring my battery bank up to 100% full (volts AND amps), yet my stock battery indicator in the TT lit up to show me full batteries after only a few days.
If the only power requirements you would like is the ability to power a tv and charge phone/camera batteries, then you can add a very inexpensive inverter to invert your DC battery power into AC power. I would bet for that small requirement you could get by with with a 500-600 watt inverter, pure sine wave because of your electronics, NOT modified sine wave. I do have my previous 1000 watt pure sine inverter posted in the classifieds here on JOF, you could look at that. I would research replacing your converter with an advanced charging ability and a small inverter as your most cost efficient way to address what you posted. The research will teach you a great deal and in the end you may want to do what I did, but first weigh your options.
What I did was from a desire to create a system that would invert my entire TT so that every outlet and even my microwave & electric coffee maker could run from my batteries. It is a "whole home" inverter that has a very advanced multi-stage charger built in with it. However it is a very expensive mod. My cost with wiring & battery cables was about $2,300 + probably 14+ hours of DIY time. (mainly because I'm NOT an electrician nor a regular DIY kind of guy)
I apologize for the long explanation, but there are many things you should consider. That said, we love the way our TT now operates and allows us to make the best use of our batteries.
GOOD LUCK to you, please let us know what you decide to do.
2007 Jayco Jay Flight 26BHS
2005 GMC YukonXL Denali
4 6-volt batteries - 440 AH bank
Magnum Energy MSH-3012 Tri Metric 2025
Yamaha EF3000iSEB generator
Winegard Traveler DirecTV slimline HD SK-3005