Hi Taffy14
I also have TwinHeat B with ScottishPower (formerly Manweb) and have done so for many years. I find the benefit of the twin heat b low rate periods brilliant, especially for domestic washing (dishwashing & washine machine) where else can you find cheap rate electricity at 12 noon in the afternoon, till 3 and from 9pm a night. Hence why the pricing is reflective for the tariff.
However this tariff is preserved with ScottishPower so you wont find it anywhere else. But it doesnt mean you may loose this tariff if you change supplier as suppliers dont always change the meters when you move over to them (except for BG - they tend to like their own meters) so you may loose the tariff as their meter might not have the same timesettings as ScottishPowers.
The best thing you could do is one of either two things, one is clear the current balance and make an application with your chosen new supplier. During the registration stage they will electronically request details of your particular make of meter, its at this point you will establish if your new supplier will be able to bill you. If you get a letter with a supply start date you should be ok. Your meter will still have the day & night time settings, however, your supplier will probably bill you as Economy 7. But you might get a letter to state your new supplier cant bill you as they realise you have a different type of meter.
The other way is to stay with ScottishPower, make better savings by moving to their online tariffs, I have done this and you are able to accurately monitor your usage & adjust make additional payments by debit/credit card, if required, ontop of your monthly direct debit payments