Hi fayz,
How are you doing? Just to tell you that job prospects are not bad in singapore as economy is booming world wide. Since i am not the person who is planning to work in singapore post MBA, so i can't comment much on that. THere is no post study work visa kind of thing for singapore, however, being a Bradford student you can het HSMP for UK pretty easily as Bradford university is listed in one of the few colleges in the Home department of UK.
Since, the degree that you get is from Bradford, so there is no question of MDIS being in between. Hope, i answered your questions.