Hi Remy, so sorry to read of the sudden loss of your Gotland ram, really feel for you with all of this and so hope that you can at least get some answers this time and hopefully then know what you are dealing with.
I am not too sure about putting a bigger tup to a Gotland ewe, I think in part it would depend on the ewes breeding conformation, ie whether they are roomy breed or whether they have a tighter pelvis etc. However I do know that commercial buyers of our Zwartbles rams have been using them successfully on first time ewes, including texel ewes, to help give them an easier time with their first lambing. So although a larger breed the conformation of the Zwartbles lends itself to an easier lambing for other breeds too. We did have someone buy a tup that he intended to put to Welsh Black mountain ewes, so know that they have been used on much smaller breeds too, but am not too sure of the outcome, we did select a smaller tup for his ewes though.
Is there a breed society that could maybe put you on contact with breeders that use commercial tups on the purebred ewes?