Man that's a common issue and will drive you insane if you think about where EXACTLY you should place the probe, the best solution imo is multiple probes, I have 4 and will go to 5 or 6 soon. It is quite amazing to see how air flows and make adjustments.
As far as A/C and being in UK...
I am in the USA, here, if you have an available window it is gold because one look in craigslist can find a dozen window units for under $100, and 500 under $200.
A window unit is almost infinitely better than portable...cheaper, more efficient and all heat is outside. I'm weird I love window unit ac, not sure why but sitting close to one on full is almost as good as being buzzed lol.