Canada

You have to score 6 bands overall with not less then 5.5 in any module.

University of Saskatchewan
University of Manitoba
Memorial University of Newfoundland
University of Prince Edward Island

Approx fees for 1 year course in Sheridan college lies in the range of 15000-18000 CAD.
For 2 years, it would be 30000-35000 CAD.
In INR it will be 15-20 lacs for 2 years.

Same was the case with me & I also wanted to get in a university in Canada for my Masters but because they ask for 16 years of education, I had to drop my plans and now going for 1 year PG course in Sheridan College to fulfil my 1 year of study and will get into the Masters thereafter.
Although someone told me that there are few universities which accept 15 years of education but you have to check on the internet about the ones.

Although her overall band score is up to to the mark but in individual module she need to score 5.5 each. As she has scored 5 in speaking, I think it would be difficult to get a visa.

Doing a part time job there will fetch you 12-13$ per hour. Now, it depends on how much you can work on the basis of your classes schedule and college days.
Worry not, you will make at least 2500-3000$ in a month and you will be able to meet your daily expenses and save a little for your next semester fees.
After your UG in CS, you can easily earn 20-30$ per hour.
Go ahead. All the best.

If you are interested then you must go for it. Canadian government need skilled labors thus it is having great prospects.

There is provision in some banks where you can repay your loan monthly, only after you start working.
You know that you are from a middle class family, so with that mindset you have to stay in Canada. You are mature enough to do a part time job there and meet your expenses and do some savings in spite of asking from you family.
Worry not, you will make a better future there and I personally have never seen anyone being disappointed after landing abroad, especially Canada, so go with firm determination.
About worthiness of EE, just see the job listings on google of Canada, if there are much then good for you else choose something else.

Its better to opt for state universities in Canada, they have a better reputation and also their degrees are valid and accepted globally. You can look for like University of Alberta,
University of British Columbia, York University etc. All the best.

This is the list of top colleges of Canada:
1) Humber College
2) Sheridan College
3) Centennial College
4) Fanshawe College
5) Seneca College
6) George Brown College
7) Conestoga College
8) Langara College
Find the course you desire in these colleges, you will do better in future.
You need 6.5 bands overall with not less than 6 in any module in IELTS. Since you scored 6, it is a matter of concern.