Hi, Feesah,
No travel buggy comes with a footmuff that I know of, and even if they would, the size of the footmuff would actually make it bigger and not anymore a cabin-size OK model. Realistically you will need to get a universal footmuff with a smaller, cheaper pushchair extra.
Not sure about the age and needs of your child but check an Inglesina Quid, a Cybex Beezy, perhaps also the Recaro Easylife if you want a more affordable buggy just for some non-demanding use. The Kinderkraft Indy could work, too.
Also good to do is to check pre-owned strollers and get a buggy for cheap, used, as you don't need a cheap new one just for one roed, you can be ecological and economical and get a low cost second-hand one, and if they damage it on the way, it won't matter much.