I just use the swap line up and swap line down commands (I have them bound to hotkeys). Despite the name, these commands actually move the entire selected text up or down a line. So, basically, for the function this plugin does, I would just select the paragraph and then either drag and drop the text, or hold my hotkey(s) to move it until it’s where I want. It does look a bit weird as it goes “through” other blocks, but that’s not a big deal.
I actually can’t see myself moving blocks of exactly one paragraph often enough to want to dedicate hotkeys for it, though. Most of the time that I’m moving stuff it’s either one line of an outline/list, or else It’s big enough I’d rather select or fold before moving.
For sections, I go to the header line, hit my hotkey for “toggle fold on current line”, select the line, and then use my swap up/down keys to drag the whole section up or down, or maybe just use the mouse, depending on what I’m doing at that moment.