You'll want to try something that handles Java script, like Opera 8.6 or Netfront 3.3. I tried Opera on it (since I use that browser) and for the most part it worked, however that large beautiful map was reduced to a much smaller, clunky thing (because it's not a mobile formatted site).
I think you're best bet would be to get something like
Pocket Streamer Lite which allows you to just stream Weather Channel reports or something like
WeatherPanel which has radar pics available.
OR..the
best one yet:
Just use
PDA Weather Products which is an amazing site with looping radar for all regions in the US and is
specificlaly formatted for mobile devices. Works very well on Opera but can't say for PIE so you can try. Enjoy