Which would be more beneficial? I feel the need to get international exposure for an International Business MBA, but can anyone provide advice on getting an entire MBA abroad at an accredited international university or receiving a dual-degree from a program linked with a US MBA program?

In order to get a dual MBA degree, you need to get an admission from both b-schools.
The idea is basically that you're going to start in one school, and apply and be accepted to the other school while there. So the first year will be in the first school, the second will be at the other one.

There are few dual MBA degrees between US and international schools, like the double degree agreement between NYU Stern and HEC Paris.

Otherwise, if it's international exposure you're after, then you could apply to a school such as INSEAD which allows you to study in France and/or Singapore.

In the end, you could have a look at school's accreditations. There are a few schools that boast being triple accredited. It won't necessarily gain you recognition in the US, but at least you have a stamp to fall back on. Not sure how much value most companies put on top of it though.

How much international exposure do you want? Maybe an exchange program could satisfy you. In this case, there are plenty of US b-schools which will have exchange agreements with various universities across the globe.

Ideally, I would like to do something around 1 year, instead of the full 2 year program due to some family circumstances. Asia, Europe or Israel are places of interest for me.

Even if there are some accredited schools abroad, I just worry about their job placement and alumni networks.

You won't find a dual degree in a 1y MBA programme.
If you want an International MBA which is recognised in the US, go to either INSEAD, IMD or Oxbridge.

Yes, a one-year dual-degree program probably doesn't exist.

OP: There are a number of programs in the U.S. that have international study opportunities - but to narrow it down, do you have a certain part of the world that you'd like to go? Europe, Asia, South America? That would help us give you options.

The Hong Kong - LBS - Columbia MBA may be an option if you are looking for truly international exposure + top reputation:

"London Track with London Business School and New York Track with Columbia Business School

HKU MBA is integrated with London/Columbia Business School, both rated among the top ten institutions in the world. After completing their core courses at HKU, students will travel to London or New York to study electives along with the MBA/EMBA students of these schools."

http://www.find-mba.com/university/1731/hku-the-university-of-hong-kong