You can carry upto 10K USD while travelling. If travelling with family, my advise would be to share the amount with your spouse and it will be better as amount gets split.
As it cannot be endorsed now on your PP, Best bet would be to talk to a Forex Agent and get his slips for Currency conversion, for which he may charge you with some facilitation charges.
Converting directly to TCs can be tricky, just check with some forex guys, you will get a lot in Jaipur, if they can cross charge you directly without converting them to INRs.
If going for a long term, I would advise to get the funds wire transfer to destination and use there.
Just Checked, upto 2K USD, you do not need a Forex conversion slip as well. and the Cap of 10 K is applicable for One Year. If you have taken Foreign exchange upto 10 K last year, you may need to declare the new amount to Customs.
Refer to this Link :
Reserve Bank of India
Rgds,
SG