If the board has Remake, Poor House, and a $3-cost Village (Village, Shanty Town, Fishing Village), why not open Remake? For the Poor House strat, you want to (1) get Poor Houses, (2) get Villages, and (3) trash Coppers/Estates. Remake does all of those things.
Howver, a caveat: playing multiple Poor Houses hits you with the treasures penalty multiple times. If your hand is Village-Poor House-Poor House-Copper-Copper, and your Village draws another Copper, then each PH is only worth $1 and you only have $5 to spend. Ironically, Shanty Town is better in that situation because it won't draw anything.
PH might be helpful in Curse-heavy games. A hand with even just one PH is always going to get you at least $4 (barring Potions/HoPs). A hand with even just one Copper can get you a PH. A hand with one PH and one Silver is always going to get you at least $5 (again, barring Potions/HoPs).
Tracking the +$ you get from playing each PH is no more difficult than tracking the +$ you get from things like Tribute or Harvest.