As Maximus has already mentioned, you are very possibly big enough to go round Mull in reasonable conditions and not worry about the direction you take.
I have to be more scientific when I do it as Im generally in a 4m inflatable and have to avoid wind against tide situations at all costs on Treshnish Point and Calaich Point. There is also a good going race running between Gometra and the Treshnish islands. These places are the crux of the route. The rest of the round is of little worry. I go whichever direction will be easiest on the boat at these places.
For info ..get your weather reports for either Iona or Fionnphort as it is mostly very different from Oban. The west of Mull is an exposed windy coastline.
Example from XC weather Fionnphort on left ..Oban on Right for Tue and Wed next week
Going by that forecast I would prefer the strong winds blowing on my tail rather than fight into them so would go clockwise. I would still be fighting into the waves going from Oban to Ross of mull..but that is generally not as bad as going from Ross of Mull to Callaich Point. Its then sheltered along the north of Mull and down the Sound of Mull when I could be tiring after a long day.
Just as important as the wind strengths are the tide times at the crux points. Generally I only consider Treshnish Point and Calaich point falls into place. You can get its times from Willyweather as attached below.
Link ... Isle of Mull - Treshnish Point Tide Times, Argyll and Bute - WillyWeather
This tells me that between an hour after 9.22am on Tuesday and an hour before 3.43pm the tide is in ebb flow so will be flowing round the crux points wind against tide. So even in your big boat.. I suspect you would have a bouncy time if conditions are similar when you do it.
Personally in Tuesday winds I would time it for slack water around 3.45pm if in a big boat..and wouldnít go near it in my inflatable in those conditions.
I hope that all makes sense and helps some..its your choice if you want to muscle your way round ..or use scientific data and have as easy a round as possible.
Here is a video from my latest round which was only two weeks ago..so you can see the sights and what to expect.. I enjoyed very little wind at the Crux points that day.