I have 245/75/R16's which are bigger than the ones you list, and it fits fine under the vehicle.
I started with a doughnut spare also, but found a 5th matching OEM rim at a junkyard. Check
http://www.car-part.com for a junkyard near you. Mine came with a TPMS and a center cap and was only $70.
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2008 Liberty Sport 4x4 Automatic
Jeepin By Al 4" Lift Kit
BFG KO2’s 245/75R16
Full MOPAR skid plates
Rock Lizard Skink Super Sliders
AtTheHelm Front Recovery System & Roof RackM116A3 Trailer build thread: viewtopic.php?f=72&t=77997