hi,
not what you were asking for, but as a T300 owner myself and knowing how much I love it and how it contributes to the overall joy and immersion, I would suggest you to something like this at least:
I started out with this one, also because I had no room for a full stand/cockpit...
It can be put anywhere , and folds so it can be put under a bed for example when not in use.
It is such a pity to know you have a T300RS and not using it!
That said , I hope you find joy either way (be it with wheel or game pad), but my advice: it's a well spent 129 euro!
Cheers.
edit : since the official site does not even show the folding capability in the pics,
here you can see it very well in a nice YT review.
edit2: I must say I have since modified some things to my setup, as the wheel was wobbling too much for my taste. It is now intergrated with another fabrication and very sturdy, but that does make it I can't put it away anymore (but I have the space now , a dedicated room for my rig). Another option (bit more expensive but sturdier and more enjoyable out of the box) is their 2.0 version which you can see
here