Taking into account your needs, believe that allincloud.fr will suit you down to the ground.
Just contact their sales representative and tell your needs, I am sure their highly-trained staff will find the best fit to your requirements.

They have Big data volumes - High speed servers!

I'd like to say that ViUX.com would be best option to get hosting solutions at reasonable rates. They have great pricing, professional support and high stability of servers.

I would suggest you with XnYnZ.com this web host provides a top class hosting service at low cost with 24/7 customer support. Shared hosting service starts from just $4.19/month which includes 100GB space and unlimited bandwidth. It could be a best deal for you to sign up with them today. Good luck.

I suggest you to compare offers to make more accurate choice. According to my knowledge with hosting from techlogicsolutions.com everything works like a clock. They are delivering reasonable deals with high stability of network and skilled support team

My Personal recommendation would be GoDaddy, it’s the cheapest and has the highest quality so really I can’t see any other company been up there with all these things and currently if we use “30word” coupon code than we could get 30% discount over all purchase so seriously I won’t leave such a big discount that too with such popular registrar.