Same here with my Midland WR120DSP. As I carry the unit around the house on battery, the signal is clearest where there is nowhere to set the radio down, which probably corresponds to no wiring or other devices causing RFI and/or reception nodes indoors. I finally found one window on the South side of the house, not facing in the direction of the three closest NOAA stations to the North and West, that is static-free with a good signal
I had to wind the wall adapter cable multiple times through two ferrite beads and route the power cable downwards from where it plugs into the radio so it's parallel with the vertical antenna versus perpendicular or I'd get static.
I have Midland's thru-glass antenna on order for this home WX-Radio. I'm using the same setup at my local Makerspace and I works quite well. As I have double-pane windows at home, I'll mount it on my exterior screen and route the cable through a window port.
For a $50 WX-radio, it's OK. My KWD TM-D710G with roof 2m antenna gets better NOAA RX but doesn't have the SAME alert selections the Midland has - it just comes on blasting at every WX-Alert. That drive my wife crazy.