You can actually put a modeller into a tube amp. There's actually a few ways to try:
1) If there's a way to turn off the speaker simultation on the V-Amp, you could turn it off and plug into the amp that way. It essentially turns the V-Amp into a pre-amp unit.
2) If your amp has an effects loop, try plugging in the output of the V-Amp into the effects return jack. The downside is that you can only control the volume from the V-Amp itself.
Most people don't recommend either of these suggestions just because the tones can vary wildly, but I've actually had some success using both of these methods, although I have had to spend some time tweaking the sounds on the modeller. If you have some time, it's a fun thing to try.
Let me know how it goes!
BTW I completely agree with you about Queensryche and Telsa, both very underrated and both two of my favorites for all time! I shot some Tesla tutorials recently, and they should be coming soon!!
Keep rockin!
Mike Olekshy
GT Guitar Coach