How do you plan to use the vehicle? I see you added gun holders, so my assumption is hunting, so off road.
Off road usage tends to need low down grunt (although most Suzuki engines produce their power higher up in the rev band) - in my mind that means that most Honda engine wouldn't be a first choice, add to that, the fact that most Honda engines spin in the wrong direction, so I would say swapping in a Honda anything is going to have more challenges than normal.
Seriously though, I find it hard to believe that you would be asking these questions having "thoroughly researched the swap and understand what is involved".
The Sidekick uses a "married" transmission & transfer case so any swap will require you to either mate the existing transmission to the new engine or swap the entire drivetrain (engine, transmission & transfer case), and that I believe considerably narrows the options, and those don't include any Honda, with the possible exception of the F20C from the S2000.
I know of folks who have swapped the Suzuki V6 into the earlier Sidekicks and it's reportedly a very challenging swap, not only from the point of view of physically bolting every thing together (this was swapping the entire drive train by the way), but more so working out the electronics, which is going to be an issue with almost anything you choose, short of an old school diesel.
The most common swaps are going to be a Volkwagen diesel or a Suzuki J20, and I don't think there is much in terms of aftermarket tuning gear for either.
