To get the full potential from the Airspy, you will need an LNA for 1090 MHz, i would recommend this one:
New Product: RTL-SDR Blog 1090 MHz ADS-B LNA
Best run it at 3 V to 3.5 V so it doesnāt get as hot.
Iāve tested and it works fine down to 2 V or so.
A 20 Ohm resistor in series will work fine with a 5 V supply, resulting in a voltage under load of around 3 V to 3.5 V.
Then you just need a bias-t like this one Bias Tee Wideband 1mhz-3ghz for Ham Radio RTL SDR LNA Low Noise Amplifier 50vdc for sale online | eBay to couple the DC into the LNA.
And as a reference antenna it shouldnāt be too hard for you to build this:
QUICK SPIDER - No Soldering, No Connector
Thatās a good baseline antenna.