The BC365CRS manual lists 12VDC as the power source. Attached are three labels from BC365CRS eBay auctions, also indicating 12VDC. Where did you find a 10VAC power spec?
Here is the info I have on AC-144U usage:
Radios That Use AC-144U 10VAC Adapter for Power
BC144XL
BC147XLT-1
BC148XLT-1
BC178XLT
BC244CLT
BC248CLT
BC278CLT
BC860XLT
PRO-2016
--------------------------------------------------
Uniden AC Adapter Model AC-144U
Input AC 120V 60Hz 5W
Output AC 10V 300mA Class 2
At 122VAC input the no load output was 10.8VAC.
Input resistance 294.8 Ohms
Output resistance 2.20 Ohms
Output power plug is 5.5mm OD x 2.1mm ID (Adaptaplug M)