Generally speaking, if it's an
inflatable and you don't have davits, then I'd opt for an inflatable that has a folding or inflatable bottom, so that it can be fully deflated and folded and stored in its bag strapped down on
deck.
If it's an inflatable with a hard
fiberglass or similar bottom, I'd still deflate it so it takes up less room and store it upside down on deck, strapped down. On our
boat we have a wooden nesting dinghy that we stow below our boom, secured with wooden blocks on deck and strapped down with ties.
Leaving it inflated doesn't really make sense except for short trips or relocating to another anchorage. In those cases, you can probably tow.