I'm 5'8" tall, so your results may vary.
How long is your commute?
I could easily do 350 mile days on my naked SV650. The fly screen does keep the wind off your chest. I can easily do 500 mile days on my Wee Strom.
The SV feels much lighter than the Strom, and IMO makes a better city bike. The Strom is fine in town, but the SV is better. The profile /size / weight difference add up quickly in the Sv's favor.
The Strom is a better long range bike. If you travel interstate, the wind and weather protection of the Strom will be a big advantage over the SV.
Passenger accomodations are much better on the DL.
Luggage options are much better on the DL.
The DL easily gets the nod on rough roads, not just gravel. The stock suspension on the SV can be hard on you. It's not bad per se, but the DL soaks up everything.
If you can only afford one, I suggest the V-Strom. It's 85% as good as the SV in the twisy stuff, is more comfy for both you and your passenger, is way more flexible (goes from commuter, to touring bike, to gravel roads easily,) offers superior weather protection, allows better visibility, etc.
Now, if you can afford 2 bikes....
2006 Wee Strom: GIVI crash bars, luggage brackets with E36N side cases, E45 top case with Amotostuff mounting assembly; Murph's fork brace; DV skid plate, radiator, oil cooler guard; Hepco & Becker center stand; Zuk gel seat, hanguards and tank bra; Oxford heated grips; Garmin 2610 GPS; Fenda Extenda; Blue Sea fuse box;
2003 Ducati Monster 800Si.e with a few mods.