I have used the 7mm-08 for many years, although I handload everything. My bullets of choice have been Nosler Ballistic Tips at first, and Accubonds for the last 5 years. If I had to buy ammo, I would look at factory loadings using these bullets. I believe Federal have some offerings, as well as the pricey Nosler stuff that Graybeard mentioned.
If I wanted to keep the cost more moderate, try the Fusions. My brother bought a .308 right before deer season one year (too close to the opener for me to load for him). He shot several deer within the parameters you mentioned and the Fusions were outstanding.
Good luck with whatever you choose.
Will