There's a new plugin in the Jomres plugin manager called Search Composite Sidebar
This plugin uses a modified version Ajax Search Composite plugin's template, which is designed to be used as a sidebar instead of across the top of the page.
It requires Jomres 10.7, so update to the Nightly branch if you want to play around with it.
Developed and maintained by Vince Wooll, Jomres was initially conceived in early 2005 as a Mambo based solution to a client’s hotel management needs. While it wasn't originally expected to be an online booking system it quickly morphed into one as users requested more and more features.
As the number of feature requests grew Vince knew that he would need to dedicate more time to the project and in July 2005 Jomres was released as a commercial project. Since then Jomres has become the world's oldest online booking plugin for any PHP CMS. It has been used in Joomla 1.0, 1.5, 2.5, 3 & 4 and WordPress 4, 5 & 6.
Aladar joined the project in 2010 after using Jomres for his own projects. He was active on the forum, helping other members of the community and eventually Vince invited him to join the team. Between 2010 and 2018 he was an integral part of the project and made many significant contributions.
Whilst not formally part of the Jomres project, Rodrigo Rocco and Vince have become firm friends. Rod is a freelancer who specialises in doing custom work for Jomres users and developing custom plugins for the system that take advantage of it's modular design. He has built many useful extensions including his fabulous Valentina Template Override Package.