Ok understood, then I won't be able to cover it.
I guess then for pvt. salaried employees HDFC is the best case.
And suggestion for you, try to apply through paisabazaar and give your secondary number as they might spam, but they'll get you the best rate and without processing fee.
In my case when I got mine from them last year, the lowest roi was 10.5 but they were only able to get me 10.7, I calculated that my loss due to this was around 4-5k, hence they got me Amazon pay voucher for that amount after 90 days.
And please do negotiate, and get Everything done with them over official email.