I did a little experimenting with putting a couple of pedals through a small tube preamp and making DI profiles. When selecting a cab afterwards, some did sound really ok. Maybe you think the same maybe not. Anyways they are now on RM search for Neo Land.
The pedals I profiled are a Boss HM-2, EHX Big Muff (70’s), Rat II (with the infamous early chip), EBS Multidrive, Rockett Holdsworth Boost/OD, Behringer Super Fuzz, and an Ibanez Slampunk-Soundtank.
They were going through an Art TubePac without the compression or limiter engaged, just using the preamp.