Hero ($390) calls in the BB with
hoping to catch a nice flop with some pretty deep st?
This strategy isn't going to serve you very well. It's not even this specific holding, which has its pros and cons - it's the thinking behind it.
First off, the effective stack with the PFR, who you are targeting, isn't even 200 bbs deep, where hands like this start to shine and respond well to the small open, take advantage of the field players not shutting you out, and streets to either make ten high work unimproved or cool off extremely strong hands that correctly felt. The fact that the money went in on the turn should tell you something.
However, the kinds of hands that call and over call the PFR either will be sticking around with sets, two pairs themselves but most concerningly, also include dominating draws.
And that is actually the good news. Because what you mostly make, instead of pat hands that can see all streets, is an assortment of middle pairs as your made hand, and draws. Lots of draws, even more than pairs. And from where? OOP, where draws play worse.
Then, think about the formation for the others. You're trying to cool off the PFR, but why should he put in significant money in four way with one pair? You're looking at perfect scenarios only or your assumption is that the opponent's threshold for stacking off is very low, which matters just as much as your range assumptions, because it determines your IO - part of the justification for any speculative flat.
Think about the reasonable suggestion above that you need to check call down and why that is almost compulsory in a blind strategy- that's how disadvantaged you are when your decision is to share equity multiway out of position. You're not even incentivized to call preflop as a defense, because no one is exploiting you - the defense of the field already keeps the PFR in check and from eating up your perceived share of the equity, orbit after orbit.