There is no need for the pre-amp, your real problem is the type of coax you are useing and the amount you are useing, that is a very very high loss coax. Im sure you could find a way to trim off close to half of that coax if you found a different way to route it to your radio. That would cut half your loss, if you wanted to take the time to find the shortest route, "through walls and ceilings" and buy some low loss cable you won't believe how much better reception you will get. All that pre-amp will do is amplify the noise along with the signal and you will not be happy with it, you will get better results and be much more happy with a short run of low loss coax.
RS