While fmj's may have a better looking profile, they do not necessarily fly better or more accurately than some of the other bullets on the market. And there is no guarantee that your rifle will like them better than a lead-tipped bullet. Also, if you intend to hunt with it, check your hunting regs, as most places do not allow fmj's for hunting!
The 270 can be very accurate, but usually is not associated with target shooting, so finding match ammo may be harder, and not not necessarily cheaper.
I have shot many types of factory ammo and handloads with lead and plastic tipped bullets in various rifles chambered in the 270 Win, 270 WSM and 270 Wby over the years, and found many to be capable of producing MOA and better groups at 100 yards. And this includes the basic Winchester Power Point and Federal blue box ammo. These will also be about the cheapest factory ammo you can find, and as already stated, $23/box is about as cheap as you are going to find today. You may find better deals on EE or at a gunshow.
Personally, I found the Nosler AccuBond (plastic tipped) to be about the most consistently accurate bullet, and then the Sierra GameKing (lead tipped). They have also accounted for many quick, clean harvests of big game over the years.
Probably best off to buy a box of each type and weight you are interested in, and try them in your rifle to determine which will shoot best in it, then go out and buy a bunch of that ammo.
It will also give you an idea as to which bullets to start with when you start handloading.