It is reasonable to expect a fair chance where you are located. In my experience some people have the problem of too many unknowns.
There seems to be problems with some makes of receiver unable to decode the channels (even though they are DVB-S2 MPEG4. Then there is dish alignment and size.
To at least eliminate the receiver ideally bring it to a place that has guaranteed coverage and install the channels first before returning home and attempting again.
In west coast Wales especially south west wales even a small camping 40cm dish is good enough to at least scan in the channels for test purposes during good weather.
Regarding dish size the dish appears FAR FAR more directional at 20Ghz, so possibly try say a 60 or 80cm solid though it will behave like a much larger dish. Best to align to normal 11Ghz channels using an ordinary LNB on 9 East, then swap the LNB.
Regarding the whole french beam jamming, we have not confirmed that this is indeed the case. There seems to be a jamming signal on the East Scottish beam at exactly the same frequency, but this signal is DVB-S blank carrier, as opposed to DVB-S2 active carrier.
It is reasonable to assume whoever deliberately is sending a blank signal to East Scotland is also probably sending a blank noise signal on the purple french beam.
Regarding the normal internet carriers jamming the signal, it depends on their exact frequency.
If you look at the spectrum photo below it shows 5 carriers. The left most one is Saorsat, the next two to the right are Irish internet carriers (the fat ones). The last two to the right are also internet carriers, but actually from a different beam called "Green" The actual levels of purple and green will vary from location to location, but in order for the East Scottish or French beams to actually jam they also need to have a signal on the exact frequency as Saorsat's carrier.
If the french beam does not, then it will not jam, However the actual power level will drop the further towards england you travel. Thus a larger dish would be needed. A larger dish is of no use if a jamming signal is present and if the jamming is stronger than the wanted signal. No matter what size dish you install it will equally increase both the jamming and wanted signal.
Also note the Saorsat carrier is 7dB weaker than the internet carriers mostly as an attempt to stop reception in Wales!
Let us know how you get on!