I've done all those things just not in one program! See who else you hear from but I would be happy to speak with you. I'm surprised they don't like Razor's Edge that is supposed to be the "cadilac" of the fund raising software world.
Did you try searching the Filemaker solutions site? There's at least one there:
Richard Carlson Computing has a free Donations template, but last time I checked, it was not integrated into their FM Starting Point template, which does all those other things you list.
John Mark Osborne has one for sale at his site databasepros.com
There used to be one from Odd Job Computing called OJC FundRaiser Plus, but I have no idea if they still exist.
There are also web-based solutions - for example, Little Green Light, which one of my clients adopted recently.
I know of a developer who has developed and sold a solution that replaced Razor's edge and does EXACTLY what you are looking for :
If you are interested, please email me firstname.lastname@example.org . The developer is in Sydney, I can highly recommend the product/solution.