But our Baofengs have the standard SMA male connector while this cable ends with a 3.5mm male SMA.
For such low frequencies I highly recommend you to buy the part out of Aliexpress for very cheap ( 2$/piece). I have used such adapter extensively, and measured their performance with a VNA and everything is fine.
I would like to know if a Baofeng can run a large antenna like this, and if theres a cheaper solution.
Size isn't really the problem here the problem is more of the resonnant frequency of the antenna.*** You might want to make measurements to be sure. The nanoVNA is a cheap option that will bring you many answer.
You want to look for the S11 of your antenna, it should be below -10dB if you want to consider an antenna as an actual antenna. everything below is greater! If the antenna is ok, you might want to measure the antenna through the cable to verify it is in good condition.
Someone have said you should verify the cable characteristic impedance (50 Ohms is what you want).
Or any entry level HAMs that would suite this antenna better.
If you want to use a frequency between 100MHz and 450MHz you might consider a quarter wave antenna, place upon the center of the metallic roof, it will have a very good ground-plane.
**(For purist : Yes I know resonnant frequency depend on size, but a dish antenna is large but run on high frequency... You get me)