The three blues in the bike park are excellent, few bits of north shore too. There is a big gap option on one blue too. I like the red Air Voltage/Kumatrautrial, accessed from the middle station and a short roll down the road - note this is the read not the black. The reds from the top I thought where a bit "meh", Ride Humble is perhaps good if you attack it, I didn't enjoy it so much. I've not attempted the blacks there. The red trails down into Crossets are good.
If you look at the maps (geoportal.gouv.fr switch on IGN) there are some trail options off the main Chatel village lift (the one that goes towards Torgon).
Chatel Bike park is a bit out of the town, not really Chatel as such
EDIT: you made me chuckle with "just push" when it's too steep to ride it's a slide on your butt with the bike alongside / on-top of you ! That's my experience anyway
EDIT2: There is a ride another STWer did with a Guide which is top of Chatel Bike Park/Linderets to Col Bassachaux to Les Roulaines then down very steep trail to Lac Montriond before riding around lake to Morzine, quite a long ride back though and you will probably get more bang for your buck in Chatel itself.