It depends who tries to manipulate it. AREC was .60, manipulated up to $13 with 2m o/s, some stocks manipulated up to 40-$80 (SECI, UBIA...) or even hundred dollars (crypto stocks), but with all stocks which reached higher levels at least something was visible. It did not happen in the moment they were shell stocks.
I cannot predict what will happen next week. In my opinion as long it´s a shell it should not trade much higher.
Most sec filer shell stocks have 200k-1m market cap. Here i also could imagine if there is a good plan that canadian insiders buy it up before it´s released.
I don´t like to predict what happens with pps, because with low floater anything is possible and i have no idea who tries to manipulate the share price. I can only say what fair pps/market cap is as long it´s a shell.
Good luck. This is my last post here.