if you’re looking to call for help a hand held radio...on any band (ham, marine, GMRS, business band) the range of the radio without using a repeater will be very, very short. using a properly installed externally mounted antenna along with a power amplifier will extend that range but that will be more than your $ budget.
a ham HF transceiver with a good antenna will let you talk around the country or the world. no linear needed but, again, more $ than you want to spend.
a mobile 2-meter radio with the aforementioned properly installed externally mounted antenna along with a power amplifier will give you better range but, again, more $.
everything ham, GMRS, business band requires an FCC-issued license. for true
emergency use here is no magic bullet.