If I remember correctly (from 2005) whilst this hotel isn't on Beach Road (on or just off the beach) it's within a few hundred yards of the beach (5 minutes walk). It is however the other side of the main coast road (New National Road) at a junction at the Malia end of Stalis (Malia is a good 15 minutes walk away).
Look here
http://www.stalis.info/stalis/stadtplan/en-index.asp for a map of Stalis showing hotels/bars/shops etc. Don't know how old it is but I recognise a lot of the names from 2005. Anastasia (if it's the same one) is in grid A10 (U-13). We stayed at the Koni Village in 2005 which is also situated on the 'new' road (A9 - U16) and would often walk along to the junction outside the Anastasia to cross the junction (or the other direction to cross at grid A7).
Would probably class this end of Stalis as the quieter end although I can't say for certain as in the fortnight we spent there we never felt the need to stray out of the A7-A10 area on an evening. Everything we needed was there with a good beach and great selection of bars and restaurants.
So it's straight over the road, down the road there and turn left on beach road - the bars and restaurants start almost immediately on both sides of Beach road. There also used to be a land train station at the bottom of this street which you could get into 'main' Stalis (and might also have gone into Malia - I'm not sure).
We enjoyed our fortnight there and would return.
Edited to post the link I'd forgotten to include the first time