Forgive me, OP, if I'me getting over-involved, but there are other pretty pink stones that you might also want to look at. I'm not suggesting that they might be to your taste, but it shows the sort of things that are available. As previous posters have said, a day out to Hatton Garden in London or to the jewellery quarter in Birmingham might be very helpful.
Here, just as an example, are a couple of pink sapphire rings, set in platinum:
https://jewellerydiscovery.co.uk/product/1ct-pink-sapphire-and-diamond-cluster-ring/
https://jewellerydiscovery.co.uk/product/pink-sapphire-and-diamond-cluster-dress-ring/
There are also pink spinels:
This is - to my mind - not very practical, but it's certainly remarkable!
https://heriotjewellery.com/products/vintage-pink-spinel-18ct-gold-ring
and this is yellow gold, but so romantic:
https://www.thevintagejeweller.co.uk/product/victorian-spinel-and-diamond-heart-ring/
Compared with your first suggestion of the morganite ring, I prefer the angara-brand ring you sent a link to. It would be more practical and comfortanble to wear every day, I think.