Use Nifty 50 stocks for liquidity. or what avg traded quantity/ day, qualifies ur liquidity requirement, if you can post i can send u the list.
About low beta stocks, i dont know and i think no website will keep updating beta values ( iam not sure). This link gives u beta's of sensex 30
http://www.bseindia.com/about/abindices/betavalues.asp
Beta = Co-variance(SENSEX, Stock)/ Variance(SENSEX)
R2 = (Correlation)2
Average Daily Volatility = One standard deviation of daily returns of individual stock price for last one year
Returns = % variation in the stock price over last one year
Also do visit the following thread at traderji:
http://www.traderji.com/equities/26356-list-high-beta-shares-nse-bse.html.
Thanks, MoHaN.