The Maruti Suzuki Fronx is based on the Baleno, and mechanically and structurally, both are very similar. 

Thus, both will be very similar when it comes to safety, too. As for the crash safety rating, yes, the Fronx has secured a 4-star rating in the Japan NCAP crash tests; however, the Baleno has secured a 5-star rating in the BNCAP tests. 

So the Baleno is safe too, if not safer, you must bear in mind that there could be differences in the export model. As for the engines, both Fronx and Baleno use the same 1.2 liter naturally aspirated unit. However, the Fronx also comes with the choice of a more peppy and lively 1.0 liter turbo petrol engine

Given your limited running, a hybrid or an EV will not make the most financial sense. 

We’d suggest you consider a petrol-automatic. There are many options in your budget, though the Maruti Suzuki Brezza, Maruti Suzuki Fronx Turbo and Toyota Urban Cruiser Taisor Turbo are the ones that will best meet your requirements of good economy, low maintenance and reliability.

The Brezza is an upright compact SUV and has the roomiest interior of the options. Its 1.5-litre engine, however, is pleasant but unexciting.

The Fronx and Taisor are essentially the same car. Both are best with the turbo-petrol engine and automatic gearbox option. Performance is impressive, and fuel economy is also good.

Both cars offer comfortable seats and a comfortable ride, well-tuned for Indian roads and city usage, making them ideal for daily commuting. Maruti has already proven its hassle-free ownership experience to you, while Toyota is also known for reliability and smooth ownership.

Between the two, you can pick based on which design, brand and feature mix you prefer, but either will tick your key boxes of comfort, mileage and peace of mind.
 

That is quite a tall order to fit into your budget of Rs 10-11 lakh. However, given your requirements, we would recommend the Nissan Magnite or the Maruti Suzuki Fronx. 

Both compact SUVs give the option of a fuel-efficient naturally aspirated petrol engine with an AMT auto gearbox at a good price, or a more powerful turbo-petrol engine with an auto gearbox that's not as fuel-efficient, but much smoother. 

Both have robust suspension that should be capable both in the city as well as on the highway. That said, while both can fit 5, the back seat will be a tight squeeze for 3, but at this budget, almost every car would be. 

Here, the Nissan Magnite has the edge on space, and overall, it is more affordable and a better value, too. Hence, it would be our pick for you.

As you've mentioned, the Hyundai Exter is the smoother and more refined car of the two, thanks to its four-cylinder petrol engine. 

Its transmission is also relatively more seamless, and overall, Hyundai cars have a better reputation for their sales and support network too. 

Other options you could shortlist are the Maruti Fronx or Toyota Urban Cruiser Taisor 1.2 petrol AMT.