First of all welcome to Riviera Travel. I have to admit that January is a bit of a quiet period for us and so we don't have a huge selection to offer you then, with our 8-day Spectacular Nile cruise the closest to a short break (though it departs from Heathrow I'm afraid). However, if you are not so prescriptive on dates, then in early February we have a Marrakesh tour on the 2nd departing from Manchester that probably fits your bill (priced at £859 for a 6-day tour).
Or if you're happy to travel later this year we have a 7-day Classical Spain tour, as well as 8-day Madeira and Sicily tours all departing from Manchester in November, or our 4-day Bologna city break in late October also from Manchester
Other potential tours that could be worth thinking about are Paris by Eurostar in November (4 days), Palermo from Gatwick in November (4 days), Tenerife and La Gomera from Manchester in February (8 days).
My suggestion would be to give us a call and then you can discuss your preferences with one of my colleagues in our reservations team and they can see what best suits your wishes and requirements.