You're welcome. The size of the radio doesn't affect the audio output, what limits that is the voltage on the batteries, unless there are special steps taken to increase that inside the radio, which will adversely affect battery life, so it's generally not done.
Roberts should be able to advise the minimum impedance that the headphone output can drive, but what will limit loudness is most likely to be the sensitivity of the headphones. Fortunately, unless you have a local shop that will let you try different headphones, you can buy headphones on-line and return the ones that don't suit.
S.