You don't want a 'preamp' - you want a 'launch amp' - these have much higher gain, and power output.
However, they aren't normally line powered, so require a mains feed.
Another option, is multiple line-powered preamps, at various distances down the cable run - you can add an RF choke to bypass power past the intermediate amplifiers.
We did this decades ago for a place called 'Lathkill Lodge' - the aerial was on a pole partway up the hillside (where there was a line-of-site to a very distant transmitter).
There was a preamp on the aerial, a preamp partly down the hill, another preamp at the top of the cliff, with the cable going down the cliff and across the river to the house
During a later repair job we had to replace the cable across the river, so cut the existing cable at the bottom of the cliff, and added a fourth preamp
Like I said this was decades ago, and the amplifiers were fairly crappy Labgear/Philips ones, more modern amps give much better performance.
This was the location:
https://maps.google.co.uk/maps?ll=5...noid=3FF9PQouY6I2XOWnJR0_3Q&cbp=12,84.39,,0,0
Looking on StreetView the house is the white walled building, and the aerial was across the river, where the footbridge goes - next to the ford - where we used to drive across and up a track to just above where the aerial was sited.