Solid state has got nothing to do with it, it would be fine, but you'd get a better sound running into the effects loop...
But yeah, bottom line is, it would work. If your amp has an effects loop, it will probably sound pretty good, not as good as pushinng a tube poweramp, but it would do the preamp justice.
Edit 3: Poweramp setups are not that pricey these days anyway, an MP-1,
Rocktron Velocity, and a Behringer cab wouldn't cost you too much, and you end up with a very decent setup.
