Free standing baths are only suitable for larger rooms where you have the ability to position the bath with free access all the way round, I regularly remove them from smaller bathrooms when doing re-fits, people like the aesthetics of the free standing bath and plough ahead and install them against a wall, the result is a disgusting accumulation of dust, fluff, pubic hair etc, this will happen quite quickly and you will regret having gone down this route. The concept of having the bath with no curtain is interesting though, in a bathroom around 2.1m square, most of the bathroom will be effected by splashing, the room will need a wet room floor former, and will require that the whole room is tanked prior to tiling, have a look at. (http://www.wetroominnovations.com) I usually use their Maxus formers and Purus gully traps. you can indeed get a flexible waste connection, have a look at McAlpine "Flexcon" range, these are available through any reputable merchants, these are quite substantial and would stand up to semi regular movement, if your free standing bath is an acrylic bath it won't be too heavy, so moving it would be quite straight forward, but I would suggest having small felt pads on the feet to protect the tiled surface, also from a drying point of view, Karcher have a very good little gadget for cleaning windows, which vacuums up the water, I often mention it to clients and any who have bought one have been delighted at how easy it is to use, it will leave the floor almost dry once you have used it, one note of caution would be your choice of floor tile, you will need a porcelain tile that has an R rating, this is a slip resistant rating and would be most advised. another note of caution, because the splashing will not be controlled, any vanity or wood based furniture will deteriorate. I hope this is of some help.

The plumbing is all on that side of the room but, subject to moving that, I don't see why not. I had envisaged perhaps a shower where the toilet / sink are, with the bath where it is and toilet / sink on the right hand wall as you come in (the wall not shown in the pic).

Dear Houzzers, this is not a plea for help but a solution if you need it. My mum has a very old cottage with a bathroom under the eaves. She has been struggling to find a reasonably priced bath/shower screen that accommodates the 45 degree angle roof and 600mm of flat ceiling space above the bath. She was looking to go bespoke but price wise was a bit much. To solve it we managed to find a sail bath screen which has a very steep curve on it. https://www.victorianplumbing.co.uk/marina-curved-bath-screen-800mm-wide As it is being delivered on Wednesday, I don't have pics but I can update in a week or so. At £120 it (hopefully) will do the job for not a lot of money! Hope this helps someone else with this dilemma!

Shower panels are just waterproof wall panels, and can be fitted on any wall