The Suzuki Stinger is a little sweetie but for someone of your size and with no riding experience you may find it frustrating. It demands skill to both ride it effectively and to maintain it in proper tune. Remember this is an obsolete bike with an obsolete ignition system and needs to be kept in spot on tune to deliver power effectively. Spares will be an issue. It is very much a collectors bike and needs a skilled owner.
The Vespa PX200 is more modern, has electronic ignition, holds it tune for longer periods and is very forgiving. It is more relaxing to ride and spares are not so problematic.
Forget all the nonsense about smaller wheels and road holding and all that nonsense that motorbike riders come up with about scooters. It is rubbish. A Vespa can be ridden with as much vim and vigour as the Stinger.
Performance is much of a muchness with the Vespa being easier to ride in traffic. Around town the Vespa is much to be preferred, it is cleaner to ride, is much more relaxed pulling away at traffic lights and girls will get on the back much more willingly than with a motorbike.
Both are a lot of fun but all things being equal I think the Vespa is the better bet for a man size beginner.
As for price, Vespas are usually dearer than for an equivalent size bike and they tend to hold their price much better.
Cheers