I apologize - incorrect terminology really bugs me.... ;) A Converter "changes" AC power to DC power. An Inverter "changes" DC power to AC power. There are many Converter/Inverters (perform both tasks) but there are no Inverters that do both nor Converters that do both.
I too find it hard to believe that a 2016 Montana 3610RL does not come standard with a battery bank and converter/inverter.
Several other key things to consider when sorting this out.
1. Batteries do not charge "quickly." It is hard to nail down an exact time as it depends on a lot of factors. That said, running the generator for an hour (after an evening's battery use) is very unlikely to bring them to 100% SOC. This means you end up running the generator for many hours with it doing very little (to get the batteries to 100% SOC). It does not matter that you have a 50 amp charger connected - the batteries simply cannot accept 50 amps at all states of charge. Of course, this assumes a fairly typical RV battery bank (up to about 500 Ah capacity).
2. Given the forum section this thread is in, running a generator all night is a terrible crime (ok, that is just my opinion), never mind wasteful. I boondock to enjoy nature/peace/quiet, not listen to a generator. Solar is magical in this regard.
3. The advice above to do an energy audit is spot on. Once you know what you need, it is easy to create a design for it. You may not need much or you may need a lot - you can't know until you do the energy audit. For example, if you just want to watch TV, a huge inverter and battery bank is not necessary. If you want to run your microwave, it may be.
4. There is a learning curve to solar but it is not terribly painful. Solar does not have to be expensive either though some people make it that way. Assuming you store your rig outside, solar will take care of your batteries even while not using it. There are some comments that indicate solar provides very little power. In reality, it all depends on what you install on the roof. I have two 327 watt panels that provide 11 amps at 60 volts to an MPPT charge controller. This equates to about 50 amps at a battery charging voltage of 13.5 volts (or 45 amps at a bulk charge voltage of 14.2 volts). However; as stated above, the battery bank cannot always accept this much power - it depends on their state of charge.
5. Assuming you go with a large or whole-house inverter…. While more expensive, an inverter with an internal switch (can also be done with an external switch) adds a degree of simplicity to the installation. A remote control panel is super useful as it allows you to easily turn off the inverter when not needed. The rule of thumb for inverter power consumption when in standby mode is about 10% of rated power. So, a 2000 watt inverter is consuming about 2 amps of 12 volt power when it is not doing anything - that makes it worthwhile to turn it off. The newer inverters appear to consume somewhat less power at idle.
6. Solar panels do produce power when it is less than sunny. Here is a post and some photos: http://jdfinley.com/solar-power-and-clouds/
Here are some posts that may help (or may just confuse :S ):
http://jdfinley.com/energy-audit-watt/
http://jdfinley.com/trimetric-battery-monitor/
http://jdfinley.com/is-solar-power-for-you/
http://jdfinley.com/solar-charging-system-take-two/
http://jdfinley.com/solar-power-winter-update/
http://jdfinley.com/energy-audit-dutch-star/
