Can you sychronize your device? What OS are you syncing to?
If you have an exe, and you cannot sync your device, then run the installer anyways. It will eventually quit because it cannot install... but it will leave a cab file somewhere while the installer is running. In some cases the installer dumps a cab file into a folder under the Program Files directory... in other cases, it is in some temp folder. If you can find that cab file then you should be able to kidnap it to your device.
Earlier, I mentioned Pocket Breeze. On the same developer website I found an application made for smartphones that is very similar called Facade. Perhaps it will be more interesting? Pocket Breeze, as is, usually comes with cab files as part of the zip file that you download... Anyways, if you email support, I'm sure you can get cab files from them.
<edit> Upon reading the site... it will support your screen type. See the bottom of the page for more information. </edit>
http://www.sbsh.net/products/facade/
Here is another freeware site... I don't browse it much though. It is made for a pocket pc's screen (so it is TINY). Also, the site has CAB files only. So, go there with your pda, click on a file, install right away. Kinda nice.
http://www.freecabs.de/
Considering your situation, the above link might be a good alternative.