If you look at the current thread I started a few weeks ago, the only thing that your household policy will do for you is to insure 'personal possessions' e.g things like cash, laptops, phones, cameras, etc. while you are away from home and then not always !
'Travel insurance' to me means things like recovery of car and or caravan, medical expenses, and so on - which is what things like Red Pennant from CC and other similar schemes from other Clubs and organisations do well. The German motoring organisation ADAC is very well spoken of too but is not quite as easy to sign up to as the others (although I can already hear the experts saying that it is, and I may well take the time and effort to find out soon).
How much covr you need for personal comfort is an individual decision. As the cost of recovery insurance goes up with my increasing years, I look at the market value of my 'van and sooner or later will stop insuring it, on the basis that the annual insurance premium is more than the value - break even is not far away !
I urge you to take time to work out exactly what you are covering, and the possible alternatives.