Why do you want a sports bike? Head down arse up the most uncomfortable way to go any where. Sit up will allow you to ride better and more comfortable and give you a much better experience. So out round the bike shops there's plenty of them but do look at the BMW's as there's some good 2nd hand...
Either or both do what their intended to do. Honda preferred here as have a 125 the kids learnt to ride on and now my run around-er. It's 30 years old and to date never missed a beat and on odd occasions still does 60+. Just make sure you look after it and it will look after you.
Which ever you finish up buying make sure it's fully waterproof. You could consider a wrist watch take the strap off and then glue the watch to a suitable surface where you can see it.
Another option would be a waterproof fob watch which you could attach to your jacket some where so you can se...
I'm a similar size to you and have ridden BMW GS's for years, local, national, international, etc., and can quite easily sit on it for hours with out any discomfort. There are lots of model variants in the GS range so check out your local B M dealer/s and see what's on offer. There easy to ride...
Take a look at heated suits not cheap but they sure as heck work wonders, cud be the way forward so down your local bike shop and see whats on offer.
If you have a limited output alternator to keep the battery charged and still ride ok you could maybe get a way with a ''teddy bear suit'' one...
mandatory or not you want some good riding gear to protect you in the event of an off, so leather or gortex suit leather gloves and strong boots, then if you do have an off your in with a better chance of coming off with only light damage. Hopefully you wont be be care full out there.
Recently 'hung' a chair on to my BMW R1150GS (medical-reason) and now have conflicting info re tyre pressures.
Front on the bike I'm told 30 to 40psi, rear on the bike 38 to 44psi, s/car 34 to 38psi subject to load.
I have in the s/car 50kg's of ballast to keep it down / until I get used to...
For your own purpose of knowing what you've done to the bike a record is best kept and costs recorded, so then you know your costs and if you come to sell it, the records are there for the punter to see.
Been doing this for the last 50 years on all the bikes I've had.