You can do a push pull amp rack and just wire the ground to ground and power to remote on the amp it won't hurt nothin and will turn off with the amp there's plenty power for that fan they only run off .5 amps your fine without spending money on a relay
Most head units supply a maximum of 500 milliamps (.5 amps) of current to the amp remote circuit, so if you connect a 500 milliamp fan and one amp, you've exceeded the current capacity of that circuit. Not to mention, most amplifiers draw more current on that circuit when the fuse blows so if that happens in your scenario, you're almost guaranteed to damage the head unit.
OP... relays and fans are very inexpensive, especially in comparison with head units. The safest and best option for you is to use the amp turn on circuit to power a relay only and then use the relay's switch to turn your amplifier(s) and fan(s) on.
Personally, I've never bought a relay in my life. My Dad owns a salvage yard and I've collected a lifetime supply of relays from junk cars. If you know of a u pull it yard in your town they will most likely sell you a handful of relays/fuses for a minimum charge (typically $5.00 in my area). Or, if you know of someone who has a junker sitting around, ask if you can rob a relay from it. They're usually in the engine compartment in a small box with fuses.
But... even if you have to buy one at a retail automotive supply house, you're still buying some very important insurance against head unit damage.
If you're uncomfortable with wiring a relay from scratch, do what bhsdriller did and buy one with a pre wired harness.