I'd recommend implimenting your own binding for those. Since the StrataFrame license comes with access to the source code, you can just look and see how we implimented binding on, say, a text box, and mimick those hooks for your own controls.
The source code is available under the downloads section if you haven't gotten yet, so the first step would be to grab that and extract it to give you access to the source (FYI, you can also build the source it in debug mode to allow you to dive into the strataframe source when debugging your own application.)
Once you have access to the source, take a look at the MicroFour StrataFrame UI project. There is a TextBox class in the "WebForms Controls" folder that will give you everythign you need to impliment your own binding here. Essentially, you will be implimenting the IWebBusinessBindable interface, which will necessitate several public property hooks and the like, all of which can be stolen from the textbox class to give you a good start (an example being the BindingField public property).
By implimenting this on a base class, and inheriting that class on the rest of your .ascx'es, you should be able to cover your bases here without too much trouble.
Hope that gives you a point in the right direction, and let us know if you run into any walls along that path 