Jeff, I just went through the same process. Started looking at a KLR650. Terrific road bike, so I've heard, but not so hot in the dirt. If it dumps, you're looking at a BIG job. Too big for me.
Next I contemplated a DRZ400. Was looking for an E that was streeted. Performance of a dirt bike, with aftermarket lights. Looked at two very hard and ended up getting pimped in both deals. Probably just as well. These bikes aren't described as the most nimble steads out there, but they are cushy and a good bike to "retrain" on. Sounds like you might be beyond that, but it just depends on what you want. The S model is set up more for the street and I think are green tagged for California.
I finally ended up with.... a YAMAHA. I found a rather pristine 2005 WR250F that had already been street legal and plated from the get go. I'm a short guy (was going to say small, but I weigh 200) so a littler bike seemed the thing for me, especially when you factor in that I have not ridden offroad for 20 years. I purchased a spare pair of wheels set up for the dirt with the bike. So I have the complete setup of DOT tires for the street and Excel rims and Millville knobbies for the dirt. Even have mounted sprockets and rotors, the dirt setup having a more "dirt ratio". SWEET!
I think the WR250F is plenty for me. However, if I get used to it, I may move up to a WR450F. Essentially the same bike with monster, pull your arms out of the socket power.
All of these bikes used are in relatively the same price range depending on year and setup. I think you can get a bunch of bike for between 3 and four grand.
Go to the usual dirt/thumper forums (I found my bike and spend most time on ThumperTalk.com) and gather info. Now is the time to buy in this area. Everyone is shutting down for the winter. Kind of a buyers market, if you find what you want.
There's a dual sported 2003 KTM 450EXC for sale in my town. It's been road pretty hard, but it has all the doodads, and a plate. Owned bythe KTM dealership owner, it's sitting on his showroom floor, next to a real ratty but plated 2001 DRZ400E. Fairly easy to get just about anything streeted here in Indiana. The DRZ could probably be had for under 2 grand (maybe WAY under), and the KTM is about 3800 asking.
The guy I bought my bike from has a brand new Honda 450F of some sort. Not a true dual purpose bike, but he again got it streeted. It's a really sweet machine, but I understand that the bike may be kind of older technology. I can't imagine that any of them are all THAT different. But that Honda had a REALLY sweet note. New 2005 model. Very nice.
Heck, you can farkle them just as much as an FJR to suit your needs. I just picked up my bike yesterday, and I already reset the sag and lowered the forks. That's just for starters!
It just depends on what you want...