Suggest that you speak to your local seed merchant and tell him that you want a slow growing "amenity" mix with no clover. Slow growing means that it will take a while longer to establish but will not need cutting every week in the growing season.
Clover tends to grow much more rapidly than the grass and can readily take over. It also impairs braking when wet!
I have used the above for 4 years and it probably gets cut 7 or 8 times between early March and end Oct.
Suggest also that you have a friendly farmer air-drill it for you once the strip has been power-harrowed and levelled with the power-harrow levelling boards.
You will need to roll it once the grass starts to grow to encourage tillering.
How are you going to cut it?
Stik