Without the output Tx cutting all the fizz I don't see any great advantage.
SS power amps are DC coupled and hence don't cut the fizz generated by over driven stages.

The OTx is part of the magic of Valve amps,, most of the great Valve amps did not use hi spec OTx's and so they smooth out the hi freq crud.
Valve pwr stages also cut very low freq because of caps (AC coupled circuits) and maybe some miller effect.
Most SS pwr stages (Especially ones like you mentioned) are dead flat,,, So unless you have an intricate understanding of how to circumvent all that then my advice is leave the SS pwr stage stock and do all the fancy stuff in a well designed preamp.
Or just research some pedals there are plenty out there

Phil.