okay, if it's SSB then analog is out.
for digital radios the go-to brand is Tecsun. not expensive, not vintage discontinued hard-to-find stuff.
they have quite a selection. their newest radios tend towards BL5 or 18650 batteries. I totally agree with you on using AA batteries, so that limits the selection.
PL-600 (???$)
AM/FM/LW
SW 1711-29999 kHz, SSB (doesn't say BFO control)
dual conversion
4AA
direct entry keypad
tone
6V adapter
FM/SW antenna jack
paged memory can be divided into 10,20,25,50 pages
www.tecsun-radios.com
PL-680 127$
is a PL-600 but add air band, BFO control
www.tecsun-radios.com
PL-660 100$
has all the same features as the PL-680 and I can't tell the difference except styling.
www.tecsun-radios.com
PL-365 65$
AM/FM/LW
SW 2300-2150 kHz, SSB w/ BFO control
single conversion
3AA
USB charging
"low power consumption"
AM/LW external antenna jack
doesn't have internal AM antenna
159x53x26mm
www.tecsun-radios.com
tips:
90% of the stations you get will be 5.8 to 12.2 MHz. (49, 41, 31 and 25 meter bands) every shortwave radio has those. frequency range isn't important.
tell them about daytime 9-17 MHz, night 3-12 MHz or they're going to get awfully frustrated
AC adapters cause mucho EMI, only good for charging NiMH batteries or FM
never have got any stations on LW
if you go without SSB that opens up your options. if you get an analog the batteries last 5 times longer.