How home prices behaves during and after great inflation 1970s in USA

Here is a very good and detailed research paper from the Federal Reserve on housing prices. It covers 1984 to 2004, and it might be a good start for your research.

https://www.federalreserve.gov/pubs/feds/2006/200625/200625pap.pdf

I guess you need a "chart of home prices":

https://dqydj.com/historical-home-prices/

https://www.homelight.com/blog/house-price-history/

You can also quite easily google for the city you are interested in.

(Glancing at this, I see "no effect at all" in the period you mention, but, you have the data so conclude as you wish!)