What you're describing is a good use case for Double Click Restore. Then you can restore the compressed/encrypted LiteSpeed backup without having to extract to native size and format or needing to install LiteSpeed. Having said that, if you ever ran into a situation where you needed to extract a LiteSpeed backup but did not own LiteSpeed, you could download and install the LiteSpeed trial. Restoring is not licensed functionality, so you can use LiteSpeed to restore without an issue. Once installed, if you wanted, you could use the Extractor or restore from the UI/Extended Stored Procs/Command Line if you installed LiteSpeed on an instance.
Dir. Architecture & Design, Quest Software