Actually, what is almost guaranteed to happen is either (1) Bitcoin fails completely and drops to $0, or (2) Bitcoin continues succeeds and naturally continues to appreciate in value to $100, $1000, and more. The chance that the exchange rate remains stagnant, say between $5-50, in the next decade (we are talking long term investment here) is almost zero. Mark my words, it will be either scenario (1) or (2).
It's basic math. If Bitcoin succeeds, and if its economy grows by 10x, 100x, etc, then its exchange rate should increase by 10x, 100x, etc, because there is a predetermined finite number of coins. (Except that we have mined only half the coins up to this day, but you get my point). The question is how quickly will Bitcoin succeeds? Will it significantly rise in value over 0.5 years, 1 year, 3 years, or more?
My personal advice, with $120k: at this very moment I would buy some BTC and keep the rest to either buy more BTC if its exchange rate drops (to average down), or to be first in line when ordering the next generation of ASICs (eg. when a vendor announces 28nm, or significantly cuts the prices of current devices). It is already too late to order the current generation of devices. Customers in front of you in the line will spike the difficulty up. One of the flaws in your math assuming a difficulty of 100M is that you assume it will stay constant at 100M for a straight 6 months while you are recouping your MiniRig investment. It will instead continue to rise during these 6 months because vendors will slash prices, offer better hardware, etc.