You could do it in a (newer) purely electric car. The Renault Zoe has just had a 41kWh battery option introduced and is said to be able to do 120 miles on bad day and 150 on a good. A 100-mile home recharge should be easy to do overnight. There is a new version of the Nissan Leaf coming in January which should have similar range. Teslas can go further, of course, but they cost.
Electric cars are actually good in heavy traffic. They don't idle and they are more efficient in terms of miles/kWh at lower speeds, which usually offsets any battery drain due to lights and heating. Motorways tend to be the battery drainers. I do 40 miles each way in a 2014 24kWh Nissan Leaf, which are about 35 motorway and 5 urban (though too often these days the motorway crawls at 40!) and can just about do the return trip on a charge, though I do have the ability to charge at work so normally play safe -- plus the electricity at work is free, which is always useful (thanks to Transport for Greater Manchester). Mind you, when you are stuck in a sea of German diesels breathing in their fumes while their drivers don't breathe in any from you, you may wonder about your choice.
Non-plug-in ('classic') hybrids normally charge their batteries from regenerative braking (running the electric motor 'backwards' so that it is turned by the wheels and generates electricity that goes into the battery, slowing the wheels in the process) and then use the battery either to assist the conventional engine when accelerating or climbing or, in some, to allow short periods of electric-only running. I think all the classic hybrids on the UK market at the moment are petrol -- Peugeot did have a diesel 3008 hybrid but did a model change and dropped the hybrid version. My impression is that they increase the mpg by around 10 compared to an equivalent pure petrol car.
PHEVs seem to have pure electric ranges of around 20 to 40 miles -- I've seen it described as 'having the first gallon free' so they wouldn't cover you both ways but might allow you a one-way electric trip.
The third category is the Range Extender. A 'true' range extender has a large battery and electric motor, but also has a petrol engine that acts as an electricity generator if the battery runs down. I think the only REx car that is currently on the UK market is the BMW i3 (which has pure electric and REx versions). The Vauxhall Ampera was almost a REx (the petrol engine can sometimes drive the wheels but normally acts as a generator) but was withdrawn from UK sale a couple of years ago because they were selling very few of them. i3s are pretty expensive and it is a very unconventional car.
Essentially, if you want to save money on fuel you need the greatest electric range you can find for your budget, but if you are worried about range then you need to be looking at a REx or PHEV.