The R9600SE would give you the added feature of DX9 effects. It would be faster in more modern games, while the R9200 would be better in DX8 and below titles. <b>But</b>, all that being said considering your situation, get whichever one is cheaper, they will have the same 2D performance.
If you can spare ~$160 US then I'd say go for a MAtrox card for the best 2D, but since you're not doing photo or video editing (when it really matters), then either of these will do fine for light duty day to day chores. Heck even an R7500 would likely give you about the same results.
The quality of you DVI signal will be more reliant on the parts on the board than the chip.
I posted this review a while back, and it's still the best way to get a feel for what you need to watch for.
<A HREF="http://www.extremetech.com/article2/0,3973,1370516,00.asp" target="_new">http://www.extremetech.com/article2/0,3973,1370516,00.asp</A>
Also look at a few other threads about this.
<A HREF="http://forumz.tomshardware.com/hardware/modules.php?name=Forums&file=viewtopic&p=380534#380534" target="_new">Recent DVI thread</A>
<A HREF="http://forumz.tomshardware.com/hardware/modules.php?name=Forums&file=viewtopic&p=380341#380341" target="_new">Recent 2D thread</A>
These may not be exactly the same but do give you access to a bunch of other opinions.
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