Hey Eric -
The good / bad answer is that you will likely need to get rid of your current rig...unfortunately there hasn't been a solid state amp built yet that can live and breath like a tube amp. The Axe-Fx rack mount unit is getting some raves but is really being used more for effects than anything else.
You just need to decide what you really want. The SRV stuff is based more on the Fender amp > TS-808 stomp box tones ( with a bit of Marshall thrown in ...). The Bonamassa is primarily Marshall flavors with some Dumble-ish cleans mixed in. Both guys use a healthy dose of cranking up the amp and rolling back the guitar volume for the cleans (some of my favorite tones...) The good news is that there are more amp choices than ever and you can put together a great setup without going broke. The Fender Hot Rod series is a great platform for pedals. Older Marshall tube combos like a DSL can be had reasonably as well.
It comes down to the 6L6 vs. EL34 tone issue...you may find that you want / need a multi amp rig like Joe B. I agree with this method.
I'll throw in this monkey wrench too - check out this guys tones, Phillip Sayce (Joe digs this guy too). He loves his Fenders, he loves his Marshalls....
http://www.youtube.com/watch?v=c3MTFr3jHIk
http://www.youtube.com/watch?v=_ChA_ZmtB9c
http://www.youtube.com/watch?v=4YcicI6r … re=related
http://www.youtube.com/watch?v=_XisTM3z … re=related
http://www.youtube.com/watch?v=S8eJzrVx … re=related
Last, I'll direct you to a site that hopefully won't prove to be a quick road to GAS:
http://www.thegearpage.net/board/
Check out the amps section, ignore the cork-sniffery, soak up up the info.
Good luck in your search ~
Steve E