I ditched my amps for Neural DSP VST' and I play somewhat similar stuff.
I recommend trying them out, especially "Tone King Imperial MKII" (there's a free trial available).
I don't play live so for me it isn't an issue, I just have set of monitor speakers to play on.
>amp induced sustain
As in Feedback? This too is applicable primarily for live setting, but I don't know how well it'd work as I haven't tried it.