Bathroom might need IPx4 rating depending on zone. As you know zones do not apply under the bath - however beware where the intake is w.r.t. the fan.
Radiant electric towel rail.
- Panel with perforations and single towel rail loop
- IPx4, 750-1500W, Dimplex for one
- Radiant avoids heat going out of the extractor vents
- Heats objects directly rather than creating draughts
Wall mounted downflow fan.
- Small fan, not too bad for noise
- IPx4, 2000W, Dimplex & Creda
- Pullcord, pullcord & runback timer, thermostat operation
Of those the downflow fan heater is cheap - =A340, the radiant heaters pricey =A3200 (like Calidou). Dimplex Calidou are radiant and I think IPx4 rated, a visually interesting design.
Cost of running such even for 1hr a day is insignificant - =A320 over
100 days.