You'll need to see how much noise you'd be okay with in your home or wherever you plan on mining since all miners these days are loud, loud, loud!!! The only real exception for this is the R4 which has issues with board and chip stability and overall build quality but lower noise; like Hagss just said, the A7 series is your best bet for a reliable miner long term.
How loud can it get?
nobody would be sleeping in the place anyway.
Anyway even with free energy this site
https://tradeblock.com/bitcoin/mining/ just shows how fast the difficulty increases and your monthly earnings decrease fast aswell. Would you have to keep reinvesting in new hardware constantly?
It is difficult to predict future difficulty.
Reinvesting your earnings is a question of how long are you going to mine.
I would say that it is not necessary.
With "free" electricity you should able to mine for a good while, make ROI on them and maybe little profit, and sell them for some price.
Then it is up to you if you buy some new miners or hold Bitcoins in your wallet.