Hello,
am ready to help with this project. The Twilio API is obviously very well described, it should be quite straightforward. I would develop a simple webpage based on ASP.NET MVC + Bootstrap (responsive layout, mobile friendly) where you can enter your Twilio credentials, select your account and subacount from a drop-down list, specify timeframe using two calendar fields (from - to) and click a button to get the records. These can be also easily exported to CSV, TXT or so.
Am a professional developer with a 15 years experience in software development - Visual Studio 2008/2013, C#/.NET, ASP.NET, ASP.NET MVC, VB.NET, Windows Phone 8/8.1, XML, SQL - SQL Server 2008/2012, Oracle, MySql; Delphi, JavaScript - ExtJs, jQuery. You can review my portfolio at https://www.freelancer.com/u/matejka.html. If you are happy with my profile am ready to have a chat about your project.
regards
Jiri Matejka