Is there a tool that searches for a specific BTC amount in a specific date range? Suppose I want to search for a transaction of exactly 445 BTC in the date range 27 July 2013 and Aug 3rd 2013 ... is there an (online?) tool that has this kind of search capabilities?
Blockchair allow you to query the bitcoin blockchain with lots of parameter such as date, BTC output amount, fee amount etc...

Here is your request:
https://blockchair.com/bitcoin/transactions?q=time(2013-07-27..2013-08-03),output_total(44500000000)#

Unfortunately it bring no result but you can change the parameters