DTS:X was, if I remember correctly, a firmware update for most 2015 / early 2016 "vintage" receivers.
FWIW if you don't have overhead or upward firing ceiling bouncers, you probably shouldn't worry too much about getting Atmos or DTS:X source material anyway. A lot of BDs are still being released in 5.1 anyway, and if it's a mostly dialogue movie that's fine.
On the subject of rear surrounds, I think you have the option to use just one rear plus two sides for a 6.1 setup, maybe one rear and one front high. You need to read your manual to find out for sure. DTS:X, I think, only needs one rear anyway, as the designers of that codec figured you couldn't hear what's coming at you from behind well enough to know which shoulder the Millenium Falcon or whatever is coming over.
You might be able to persuade your missus to let you put one between the flying ducks or whatever's on your chimney breast. If the chimney breast is just plasterboard covering a gas fire flue, and therefore more decorative than solid brick, you could even fit one into the plasterboard, using a bluetooth speaker and a mains supply tapped off the back of a handy mains socket or just chisel out a groove in the plaster and bury the low voltage wire between the bluetooth speaker mains adaptor and the speaker itself with polyfilla.
On the subject of side surrounds, don't worry. Directly left-right from your listening position is best, especially if you have seven in / on / around-the-wall speakers. Consider experimenting, however, with designating them as rears, not sides, and see how you prefer the effects. You can probably still use front highs if you do this, but obviously if you fit a rear as mentioned above, this cuts down the number of available channels for front highs, and therefore your options.
On balance, I would go for the following in your situation:
1. Fit a pair of front highs near the ceiling, following the positioning guide in your manual, which probably means probably directly above or slightly further apart than your front left and front right, but for certain angled downwards and inwards as best you can towards the main listening position;
2. Designate your channels as front left, centre, front right, front high left, front high right, rear left, rear right.
3. Don't bother with a second subwoofer unless you think you need more "oomph" as your receiver model only decodes in point-one mode, so even if you fit a second sub you'll only get twin mono outputs, not stereo subwoofers. A bigger (12 or 15 inch) sub with more power will take up less room overall.
Sadly, your receiver can't drive more channels if you fitted an external power amp. It only decodes (and internally amplifies) seven main channels. So don't get hoodwinked into that route.
All of the above should be possible to set up using the on-TV setup process, BTW.