I wish we could see a pic of the bag before you got it cleaned! It looks great now. Just going off of your photo- if I were in your shoes I would just order a strap off Etsy and wear it. It has that vintage and rustic look! I'm not sure where you would be able to source a matching brand new strap.
If it makes you feel better, plenty of H users swap out their Kelly strap for a wider and more supportive fabric guitar strap. I don't think you would be looked down upon to have a non-H strap on an Evelyne, and I doubt a lot of people will notice since the default Evelyne strap is already just a glorified guitar strap lol.
If your purpose is to get a matching H strap so you can try to resell it at a much higher price... I don't think the resale market is hot for used Evelynes. Just wear it carefree!