At this time my thoughts are to have an inflatable and have it stowed in its bag on board or to starboard side of the F300 Yamaha engine on the platform. This area can accommodate 2'x3'x some height for the inflatable's bag. If the inflatable has solid bottom then those pieces can be stowed elsewhere in center cockpit hold or in the cave.
The issue will be when it comes time to inflate the dinghy. I'm thinking I can do this fairly easily in and across the cockpit with the dinghy straddling from port to starboard on the gunwales. In this position I can inflate the dinghy and then push it overboard and tie up to stern platform cleat.
This method is going to be something for me to explore with and will practice this while docked to see how well it pans out.
The challenge for me is to figure out what size dinghy to purchase. If its too big that could be difficult so I'm favoring the smallest dinghy I can get away with for holding 2 adults, or 1 adult + 2 kids. I will use oars to start off with and then may consider a small electric motor such as the Torqeedo. I had a Torqeedo previously to power a Portland Pudgy and it did a good job, and there's no issue having to carry gasoline tank onboard.... just the Torqeedo battery. The Torqeedo breaks down to three pieces (Tiller arm, shaft/prop and battery) that are real easy to stow away and in total weighs no more than around 22 lbs.
In all honesty, I've never liked the idea of hanging a dingy on the stern platform. It's not only the worst place to add weight, blocks/obstructs rear viewing, can and will act as an aerodynamic drag shoot which would be even worse running at speed, IMO looks ugly and awkward sitting way back there and really spoils the look of the boat with such a large ungainly looking object sitting there.... plus I like to look to stern as the boat runs while sitting in the cockpit. If I could mount a dinghy on the foredeck that would be my best choice.... but of course that's not going to happen for obvious reasons.