Which radio to by under 50 dollars?

What i use . . .

This radio.
https://www.amazon.com/dp/B00IA9Q78...olid=1P36ZE5NJQK2K&psc=0&ref_=lv_ov_lig_dp_it

This Mic.
https://www.amazon.com/dp/B00Z4X3MM...olid=1P36ZE5NJQK2K&psc=0&ref_=lv_ov_lig_dp_it

This antenna (8" long)
https://www.amazon.com/dp/B00KBZLOH...olid=1P36ZE5NJQK2K&psc=0&ref_=lv_ov_lig_dp_it

Longer antenna (15.6" long) -- if needed.
https://www.amazon.com/dp/B00KC4PWQ...olid=1P36ZE5NJQK2K&psc=0&ref_=lv_ov_lig_dp_it

This programming cable.
https://www.amazon.com/d/Two-Way-Ra...=8-3&keywords=baofeng+radio+programming+cable

Programming Radios Video (the best one i know of)
https://youtu.be/-cUmyElf1MI

As i understand it, you will need to program the radios to get rid of the HAM channels and put in the ones you want to use that don't require a license. Very easy to do with the correct cable and the CHIRP program. The video goes over all of this step by step.

When it is just us Baofeng users riding, we use the MURS channels, but i have the other GMRS and FRS channels in there as well for those days when we ride with those who have the other kind of radios. I don't program in the sub (privacy) channels since i don't feel they are necessary.

Also i have several other channels for repeaters in case of an emergency, plus search and rescue, weather, and many others.

I am assuming that this radio is able to communicate with BCA radios as long as everyone is on the same frequency?

Yes, that is correct. We do this all the time and it works well with other radios as long as they are on the same frequency. The others (that dont have Baofeng radios) say they can hear me louder and farther away than any of the other radios. Must be that these transmit at 5 watts.