>drip 10k BTC into the market and liquidate several hundred thousand coins over the next year.

Really ? You could put 10k BTC on sell side per day and the market wouldn't collapse in a week or two ? From what I can see on this exchange : https://www.bitstamp.net/market/tradeview/

You could push it below 2k$ with less than 10k BTC, I'm assuming there are bigger exchanges - I'm not following BTC close - is there an aggregate of exchange bids on big exchanges ?