C:\Users<yourwindowslogin>\AppData\Local\CCP\EVE\c_programs_eveonline_sharedcache_tq_tranquility\settings_xxx folder has a bunch of core_char_.dat and core_user_.dat files. The core_user_.dat files are account-wide preferences (for things like color choices, key bindings, etc.), and the core_char_.dat files are per-character preferences that include the positions and configurations of various windows within the game, including the market.
A portable copy of the settings_xxx folder with all these .dat files in it will probably do it.
EDIT: the “AppData” subfolder is a hidden folder in Windows, and you need to go into the Windows Control Panel -> All Control Panel Items -> Folder Options -> View tab, and check the box for “Show hidden folders and files” to see it.