I own both a Handi and an Encore, in 30-06. Neither one compares to my TCR in 30-06. I shoot Speer 125grTNTs, Sierria 165gr boattails, and Nosler 180gr Partition bullets. I shoot Foxes, coyotes, Wolves, Caribou, and Black Bears with my 06s.
As for the Handi: For feel, shootability, accuracy, and shooter confidence, I'll take the Handi. I bought it as a spare gun for Moose camp. One that I would not get upset if someone else scratched it, or dinged up the stock. Then I discovered it's accuracy. I changed to a 6X18 Shepard scope, and it is the gun I take all winter. I use it to shoot predators at ranges from 50 to 600 yards. For winter Caribou hunts I will not hesitate to shoot a Caribou out to 500 yards.
As for the Encore: I have a 4X12 scope on it and it shoots well. I shoot it out to 300 yards, after that the groups start opening up too much. The Encore just does not feel good to me. I don't like the feel of the stock. The action is extremely noisy when opening and closing. And it seems heavy. I've never weighed it, to make a real comparison with my Handi. But after carrying it for a three or four hour walk, it seems to weigh a lot more than the Handi. And the Encore is extremely uncomfortable on a sling.