You can drive the whole way. But be very careful on those roads as those are very treacherous. I personally would not recommend a zoom car in those roads as the car behaviour would be unknown to you. I would rather recommend you hire a local car with driver. The call is upto you if you're confident enough!!! In any case, have a wonderful trip!!
Visit the pushkar lake. Take a 15 mom walk to savitri temple from where you can see the entire town.
Watch the evening/night Aarti
Of course you can't miss the Brahma temple. The only Brahma temple in India
While travelling to Pushkar, you must not miss visiting the serene Pushkar Lake where you can enjoy the views of clear blue skies. Foy Sagar Lake is another scenic location where you can catch a gorgeous sunset view. You can make your trip more spiritual by visiting the popular temples of Pushkar such as Brahmaji Temple, Savitri Mata Temple and Rangji Temple. And the biggest attraction of Pushkar is its camel safari. You can choose to stay in a tent overnight, and enjoy a camel safari across the vast desert.
How many days? where are you visiting? Do not miss Sigiriya, Polonnaruwa if interested in history and geography :) if jungles are your thing, head straight to Ruhunu Safari Camping at Yala or Udawalawe. they have the best game drivers and amazing food.
Kanatal is beautiful place by it self. but also u can visit surkunda devi temple near it and also go visit dhanulti and eco park everything is beautiful around this place
Singapore - universal studios, siloso beach,marina bay sands, big wheel, Marina bay sands casino, Merlion monument,singapore parliament building, adventure sports, river quay, clark que, mustafa, little india malaysia - petronas towers,KL Tower, penang street painting, Langkawi, central market
I cant suggest you all the places, but what i would like to tell you is 4 days for jaipur only is too much . what you could do is plan a visit to ajmer or pushkar along.
Singhad fort one day ,Lavassa one day,mahabaleshwar one day and local Pune - fc road mg road ,local shipping - Laksmi Road market and near by Dagdusheth Ganesh temple, best weather is now Dec Jan