Last year I too was where you are at today, After Reading up, Looking at, Touching & Drooling over the show room offerings I went KLR.
My logic if you can call it that was the KLR has been around for a very long time with only 1 major "upgrade" with most of the bugs worked out of the design. The V-Strom just didn't reach out and grab me like the KLR did.
I sat on the strom and had this "WTH" feeling and the overall lines of the bike just didn't work for me. I am 6'03", 33" inseam, the KLR just felt better.
The V-strom is just about $2K more than the KLR, I did not like the way the front of the engine looked totally exposed. I also thought since the KLR has been around for so long that after market stuff would be a bit cheaper and easier to find which so far has seemed to be a correct assumption.
Looking into my cloudy "Crystal ball" I also figured should I actually load up and take a week or so road trip that if I were to bust something that repair parts would be much easier to come by even if I were to break down out in West, Roosterscratch, Wherethehellareville. so there you have my thoughts on it.
I got mine back in March while they had that Military rebate deal going on, I finally turned over 1,000 miles on the KLR and it I find is VERY comfortable right out of the box. I sport 5 bulging discs with the middle 3 having tears and after 2 hours playing around on it I still feel better than I did back when I had my '02 Goldwing. I say go KLR and don't look back.