I use a Stihl BR600 backpack blower to clean up leaves around ~2 acres on the side of a hill. No problem with wet leaves on the lawn - it'll even dig into the rotting stuff around the trees at the edges of the lawn. The weight of the blower doesn't bother my back much, but at the end of the day, my feet will be killing me (maybe I need better boots). Last fall I tried to do more with the mower. I don't have a bagger, or even the mulch kit for my deck, but I would do a few laps with the discharge pointing 'inward', mulching the leaves until the deck started to clog, then turn around and do a lap throwing the mulched leaves 'outward' for one lap before turning around again and repeating the process. That seemed to do better, but I'll see how much of that was absorbed into the soil when the snow melts.
I don't think that a push blower would be better, because it wouldn't be as maneuverable.