I’m also new but from what I’ve just read in this sub, this Tecsun PL310ET(I think, lol) is a good performer and only $48 on Amazon (depending on what your definition of cheap is, lol)
I just got a Tecsun PL-880, which was around $150, so I can vouch for the brand anyhow.
You can go even cheaper with an analog tuner, but I’ve found that having a digital tuner makes a world of difference so you know exactly which frequency you are tuning into.
I'm going over your budget by 20%. You can make a better antenna with a 50-100' spool of wire and a 3.5mm mono plug but the following suggestions are 100% off the shelf.
Radio: Tecsun PL-310ET
Antenna: Sangean ANT-60
If you're new to the hobby I can recommend the Tecsun PL310.
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