Sounds risky on many levels, but still interesting.

So you're plan would be:

1) Sell Shares for BTC
2) Convert BTC to Fiat
3) Buy Property using Fiat
4) Convert rent back from Fiat to BTC and pay divs
5) In case of sale in say 3-5 years time: Get Fiat, convert to BTC buy shares back / pay divs / whatever

Amirite?

So currency conversion would result in better divs if BTC drops / stays flat and lower divs if BTC rises in the given timeframe?