The 60m “bandlets” used in the UK are a problem for inter-communication to countries who have the WRC15 band allocations. I was about to jump in and say that the overlap frequencies I look to are 5354/5 and 5362/3. This coming for an SSB operator, operating on USB, but of course a CW carrier sits exactly on the frequency not above it as an USB signal does. So your comment about needing to be probably at least 500 Hz above 5354 or 5362 is spot-on Andy (G8CPZ). How about CW on 5454.5 or 5362.5 and SSB(USB) on 5355 or 5363? I THINK these will be within bandplan and more importantly within band for UK and WRC15 stations.
There is also an issue with the current RSGB bandplan for 60m, ( https://www.thersgb.org/services/bandplans/files/assets/basic-html/page-9.html# ) where it specifies " 5,362-5,370 kHz - Digital mode activity in the UK " although this is in one of the overlap areas with WRC15 band users - error - a UK only activity section covering over the International co-allocated section of the band - OOOPS! - there is a note (4) where it says try to avoid WRC15 frequencies, but the definition is in the band plan (this version was created after the WRC15 agreement), when it could have started the UK only digital section a couple of Kcs higher and avoided the problem!
The RSGB page at http://rsgb.org/main/operating/band-plans/hf/5mhz/ explains the overlaps but real care is needed if the UK operator is not to operate outside of the allowed “bandlets”.
Here’s hoping the UK and the US regulating bodies adopt the WRC15 recommendations for the 60m band (in addition to existing channels/bandlets) soon.