Without tools, this is a tough one and very tight quarters. They do make offset boots where the transition to the round duct work is on one side of the boot instead of center like yours appears to be. If you can get one and move the transition to round duct farther away from the elbow shown, you might be able to get another elbow in there to make the connection. Personally, it would be easier just to get a hunk of galvanized sheet metal, duct flange and a handful of rivets and make my own transition but you would need a rivet gun and hand shears at the minimum.
As far as sizing goes, almost every installation manual I have seen for an appliance with ducting specifies minimum size ducting, distances, etc. I would look there first.