It does seem pretty coincidental that they've all died in such a short span, but if they were about the same age (which I assume they were), it doesn't seem unexpected to me.
There are some fish diseases that stay in the water, but I think most, if not all, die without a host. It's hard to say what could have caused the growths (could of been cancer from old age or it could have been from something like fish TB--- which is transferrable to humans). Short of a fish vet or something obvious like popeye, it's hard to tell sometimes what ails them or how to fix it.
I don't know a lot about fish diseases and if they're transferrable to a turtle or if a turtle is capable of transferring something to a fish. But, assuming it was something from the snails (also assuming the turtle didn't contract it too), I think without a host, whatever it could be, will die.
Just curious. When you say clean filter, do you mean just squeezing it out in dirty water or replacing it altogether?
If it were me, I'd give it a good month with just the turtle in there and then try new goldfish. God forbid I'm wrong, but I think that if there's anything that could affect a new goldfish in there, in a month's time, it'll be dead (again, assuming it isn't something your turtle can also contract).
Sorry for the rambling, but I hope this helps.
Also,