What is the best company which provides Windows shared hosting in a quality way?
Aspnix company was advised to check out, am I in the right direction?

Quality services provided by hostdone.com company.
Suppose their windows hosting plans will meet your requirements with the code HOSTDONE20 - 20% discount.
They are reliable and trustworthy, so I suppose this might be suitable for your request.

I have a friend who is happy using aspnix.com web hosting services.
The pricing is very good, especially for what you buy for it. Enough space and bandwidth and the servers are powerful for running of my web site. There are many useful features included into their hosting plans.

They look quite attractive from my point of view.

How long have they been in the IT industry?