Let me think a little about it...
Well,
we do need some cool variation... with your ideas, we already have one (escort and) rescue mission, as well as two landings missions (as an exercise or not)... we said to avoid hunting subs...
Surely enough, we could imagine a mission where our ship has to go here or there to transport important people or secret documents... maybe, extrapolating a bit, in the Arctic zone, not far from the Russians...
But this would be too much like the Normandy-Niemen scenario with the tour organized in B-25 C for our good old admiral Portier... almost a copy-paste but on the sea instead of the skies...
No, we have to find another choice...
*******
Hem...

Have you already heard about the
Battle of Ko Chang?
(
Or Koh Chang...
It happened the 17th January 1941.)
At that time, it wasn't question of the French "La Combattante"... but as we're telling stories, it could as well be the story of some officers that could have taken part to some battle previously, to have gained some experience before taking their command on the Free French "La Combattante"... perhaps even related to our good old Admiral Portier...
You've some information here on this French webpage
https://fr.wikipedia.org/wiki/Bataille_de_Ko_Chang ... and I strongly advice translating parts of it using online tools rather than simply jumping on its English "equivalent" (
https://en.wikipedia.org/wiki/Battle_of_Ko_Chang) which is not that equivalent at all in term of content (

)... Here is another source (easily translatable using online tools, again):
http://www.netmarine.net/bat/croiseur/lamotte/kohchang/
Translated from the later:
"
Preamble
At the beginning of the war, Japan, which was not happy with the French presence in Indochina and wished to take advantage of the French defeat in 1940, thought it could realize its expansionist dreams with the support of its Siamese ally.
Siam (now Thailand), which had been negotiating a non-aggression pact with France for several months, brutally declared in June 1940 that the signing of such a treaty was no longer necessary. At the end of 1940, Siam, which claimed sovereignty over all the territories located east of the Mekong River, massed its troops on the borders of Cambodia and began a series of provocations and incursions into the territory of the Protectorate. Our forces reacted vigorously and thus a real state of war was established.
It became clear that if the Siamese Navy had not yet gone into action, it would do so very soon. However, until January 1941, French operations against Siam had been limited to defensive operations... But for Admiral Decoux, Governor General of Indochina, it was time to take the lead. On January 15, he gave the green light to Admiral Terraux, commander of the Navy in Indochina, to carry out an operation against the Siamese Navy that was to lead to the battle of Koh Chang."
Part translated from the French wiki page:
"On January 10, 1941, Thai forces launched an offensive in Laos and Cambodia, which were French colonies administered by the Vichy regime.
On January 16, 1941, France launched a large land counter-offensive on the Thai villages of Yang Dang Khum and Phum Préav, where fierce fighting took place.
The French counter-attack was a failure and ended in a retreat, but the Thais were unable to pursue the French forces, their tanks having been pinned down by French artillery."
Now, we have the Thai faction in OoB with its own flag... they can have some Hawk III (against some old recon planes), but as well Italian models of destroyers, some Japanese as well, even one old British model may be involved, etc. We've the flag. We've enough different kind of models available and, moreover, respecting History...
A scenario inspired by these events would change completely... and allow a real small naval battle.
Furthermore, without insisting too much on it, however, it allows us to remember that France had a colonial empire at the time and that it was also present in Asia!
*******
Now, when to put this mini-scenario about this Battle or a part of it at least?
As we've two ideas about landings (one as "exercise", one more real), then it could appear in-between... a little like a digression... as if our good old Admiral Portier was talking to the Général and saying something like "Besides, it reminds me of such and such an officer I knew at the Naval School (or something), a hell of a guy who had his baptism of fire at the Battle of ... What do you mean, it doesn't ring a bell? Don't worry, General, I'll summarize it all for you."
So, it could take place like this:
1. The first sortie of the proud La Combattante
2. Exercise/Operation Tiger
3. Battle of Ko Chang
4. Operation Neptune
