You are better off practising krav after practising some competitive martial arts. The level of striking in kickboxing is a lot higher than in krav, and there is no way you could stand your ground with them, same with grappling. In competitive martial arts you have to deal with resisting opponents who want to beat you, outsmart you and counter you intelligently. Good practice for a real situation.
Krav is basic stuff done at high speed and pressure, which is good, but there is no live or dynamic resistance from your opponent. Landing a punch on someone who knows how to move and defend, is much harder than against a semi compliant training partner.
Pick one from each row, you will be fairly complete as a fighter, and you will feel comfortable in both striking and grappling.
1) Thai, kick boxing, karate
2)judo, submission wrestling, bjj
John, if u are taken to the ground, grappling skill combined with dirty striking is essential to escape and get back on your feet. Also grappling skills are useful defence against rape for women, which I believe the original poster is!