Havent heard of the lodge but am sure you will have a great time!
When your in Quito would recommend going up the Basilica, no health and safety whatsoever but once in there they basically let you wander around freely allowing you to climb up above the belfry...its awesome!!! The churches are a must...see if you can find the one with disco jesus
No doubt you will head up to mitad de mundo (where your find that the monument isnt actually on the equator line) but once there would really recommend going to Pululahua crater a fascinating trip since you will overlook a crater which is inhabited by about 30 families. Once here you will learn all about the religion and way of life of those who live in the crater.
If you are heading to the coast, Puerto Lopez is a nice little beach town, close to the beach national park Macasilla.
If you want to stay inland I really really like Banos. From the town you can easily walk up to mirador bellavista where you can stop for a Canelzo (alcoholic cinnamon drink...very nice!!!) and then onto Runtun where you can hear the volcano breathing...and hopefully see it if its not cloudy! and then walk onto Mirador Virgen, where you can head back down to the town. If your in Banos would also recommend hiring bikes and cycling to Rio Verde and Pialon de Diablo. You pass loads of waterfalls along the way and cable cars that go across the canyon...scary but you have to do it! At Pialon de Diablo its worth paying the extra money (about a dollar!) to get right up close to the waterfall...but bewarned you WILL get soaked!!! From Banos you could travel to Riobamba and catch the Devils Nose train which you get to sit on top off, fantastic when its a beautiful sunny day! From here you could carry on to Ingapirca where there is a small but very interesting inca ruin with an inca face in the rock...and from there on to Cuenca which is a nice town with beautiful colonial buildings.
Am sure that whatever you do you will have a fantastic time...enjoy!!!