I do solo trips a lot and I'm not a particular fan of HOHO bus tours. I understand you are wanting to do it mostly to get your bearings upon arrival in a new city, but given your train gets in at noon, it's going to take you awhile to get to your hotel and ditch your bags, and you're visiting during the winter and it's going to get dark relatively early, you are going to be spending a good chunk of change on a bus ride as you're not going to extract much value from it by hopping on and off.
If you must do a bus ride to get your bearings, then maybe look at simply taking the lower cost option (without the commentary) and just get on the Route 69 or Route 42 bus. You can Google these routes to get information about the many sights you can see along these city bus routes at a fraction of the cost you'd pay for a HOHO.
While Montparnasse Tower can be a good alternative (especially in the winter when it's cold) to getting a 360 degree view of Paris without having to deal with the whole ticketing process of the Eiffel Tower, there are other places you can get a 360 degree view. You already want to go to the Arc de Triomphe - you can get a good view from the top of the Arc and the bonus is they are open until late at night so you could time it so you are on top of the Arc as the hourly light display kicks in for the Eiffel. If you are wanting a 360 degree view during daylight hours, then take the Route 42 bus and go to Galeries Lafayette Department Store and head for the Ice Cube Bar located on their rooftop terrace. If you can time it to be there just before sunset, even better - you can enjoy a drink with a view and still stay out of the cold and wind.
For the other 2 days, I'd get a Museum Pass so you can bypass ticket sales lines. You may even want to hold off on going to the Arc until you activate your Museum Pass as the admission would be covered. Personally, I love the Catacombs and apparently have been really lucky every time I have been as I've never encountered a horrendously long line there - not even when I went in peak summer tourist season. If it's something you really want to see, then I say play it by ear and see how the line is. Dress warm. It's a little chilly down there in the summer, so in January I'd expect even more chilly and damp conditions down there but as a result, I'd expect far fewer tourists and hopefully a shorter line to get in.