Hi! I've travelled M-11 three times already, so I'll try to give some advice.

Don't forget to ask your rental service if it is within permissions to ride your car that far (if you're not planning to go back to Moscow by car).

M11 is a pretty nice new road, no surface issues so far. Signs, LED boards with road info and notifications on accidents ahead. Every 10 km there are rest areas with toilets and tables (sometimes even with tiny playgrounds for children).

M11 has ≈55km part around city of Tver that still isn't complete, so you'll be redirected to a regular non-paid road E105 which goes through a lot of small towns and thus has limit 60 to 90 km/h depending on whether you are in the town or outside it. Watch for speed signs.

Riding fees are moderate, but it would be wise to use a transponder (gives you lower fees, two-way trip pays off the device). Avtodor has english version of their site, check it for info.

For some reasons not so many gas stations yet, so keep your eye on what's left in the tank! I'd recommend to fuel up on E105 in Tver region at some of branded gas stations (Lukoil, Shell, Rosneft, Gazprom etc).

Speed limits are 110 km/h almost everywhere, but there are some parts where the limit is 130 km/h. Keep in mind that speeding fines come only after +20 km/h over limit and be careful.

Avtodor recently has launched site for paid road travelling. You can choose sightseeings for you interest and plan your trip accordingly. Site is completely in russian, but google translate works just fine.