Apartments For Rent In Battlement Mesa Colorado . In markets like battlement mesa, it’s important to move fast. A 1 bedroom apartment as an average costs $1,996 and ranges from $520 to $2,288. Willow Grove Park, Preesall, FY6 0RN 2 bed park home £85,000 from www.onthemarket.com Browse all the houses, apartments and condos for rent in battlement mesa. On the average rent for a studio apartment in battlement mesa is $1,399, and has a range from $1,025 to $1,674. On average, section 8 housing choice vouchers pay battlement mesa landlords $700 per month towards rent.