There are actually very few hotels close to Lisbon airport and even fewer with good car access.
The nearest I have stayed at is the Radisson Blu Hotel, Lisbon:
See: http://goo.gl/3lsQO
There is also the Residencial Terminus which is closer to the Airport. I have walked past it but never been in it.
www.residencialterminus.com/Index-e.php
35 minutes from the Airport on the South of the river and lying on the old Lisbon - Algarve road is the IBIS Setubal.
http://goo.gl/XN9xJ
I stayed there several times several years ago. It is set in a garden with pool.