Looks like Lee creek is up pretty good with the rain. You can paddle it from 10cm up, but 30+ is optimal. All images are from a flow of 2 cms.
The narrows up by Beazer is a good section. There are two ledged that are class II to III depending on flows. They are by the mini trailer park and cabin about 1km down stream of beazer.
Then things straighten out. At the narrows the big hazard is a log jam on an island that some current feeds into. The channel on the right is fun. Expect class III.
the entrance to the narrows
the cannal after the narrows
If you take out at the bridge on the Beazer highway there will be a fair amount of flat water until then. Watch out for a barb wire fence just under the bridge. There are lots of logs, but few river wide ones. From the beazer bridge down through Cardston there are a number of fences above the golf course that make things hazardous.