Prof.Thomas Lee and Dr.Shaeffer, of stanfod, can themselves help you...
I am not joking...Dr.Shaeffer has designed a GPS LNA as part of his work
go here...you will find how he has done his design..
his work is considered as pioneering for the LNA design...you can also read his legendary paper
Derek K. Shaeffer and Thomas H. Lee, "A 1.5V, 1.5 GHz CMOS Low Noise Amplifier," IEEE Journal of Solid-State Circuits, May 1997, pp. 745-759.
you can design a circuit with two MAAM12021 ic preamplifier by Macom.
This is an eccellent high gain low noise amplifier and it just needs some external bypass capacity to work, you can ask to Macom for free samples.