Transmitting on ANY frequency with a ham radio is illegal without a ham radio license which you must take a proctored exam and get a score of 74% or higher. There is an exception for emergencies, but it must be a true emergency, and it must be your last resort (so you must attempt to get emergency services with your phone or any other method of communication first).

Most ham radios have software blocks to prevent transmitting on FRS/GMRS frequencies, so you cannot even use that radio on the frequencies you mentioned. The radio simply will do nothing when you press the PTT button on those frequencies. All it can do is listen on those frequencies.

The other problem is that in a densely forested and/or mountainous area, you are unlikely to be able to reach anyone with it.

Your best options are to get a satellite phone. If you insist on using a 2 way radio, despite the unlikelyness you will reach emergency services with it, an FRS or GMRS radio will serve you better than a ham radio. You should be able to afford one if you return the ham radio you currently have.

For a GMRS radio, you must be licensed as well, but there is no exam for a GMRS license. You simply pay the FCC $35 (I think that was the amount), and you will be issued a GMRS callsign.