If it is just RTF, and not an actual .docx file, then Textilus Pro should work. Think of it as a lite word processor. There is no signature support, but you can print to a file, then add a signature in a PDF app.
Also, even if you don’t pay for Microsoft Word, you can still use it to read and print .docx files. If you can print, you can print it to a file, which is a PDF, which can be signed by any PDF app with that ability.
There used to be a slew of decent OpenOffice based apps, but the license holders decided the App Store was anathema to their open source licenses and banned iOS apps from using their code base. Many of the current Microsoft compatible apps actually run on remote servers, getting around the license issues at the cost of speed. I gave up and use the Microsoft apps when forced to deal with Microsoft documents.
BTW, if you’re using an iPad Mini or iPhone, the Microsoft apps work with all the basic features, for free. Microsoft bases their licensing requirements on screen sizes, for some odd reason.
There is also a new iPhone only Microsoft Office app that combines the three big apps (Word, Excel, Power Point) into one app. According to the description it is also free to use, with only some premium features reserved for Office 365 subscribers.
I know it’s painful to succumb to the Microsoft machine, but if you need to deal regularly with Word, Excel, and Power Point files, it’s not wortt the time to work around the issues. Not for me, anyway.
P.S. Thought it’s a fairly good word processor, I don’t use Textilus Pro for much; just the occasional RTF document that I want to edit natively. It will do much more.