Retrofitting a 2008 rig suggests this may not fit your budget, but
lmiken hinted at an excellent option.
A car stereo installer could install a
"Double DIN" stereo head unit with a large popout screen and multiple USB inputs. Installation will cost more than the unit, but the installers might do a better job of routing cables from your remote devices to the head unit.
Note that, in many cases, the head unit might accept only one bluetooth connection at a time, but, while I haven't researched it, there may be units that allow multiple simultaneous bluetooth connections. Worth asking, because a TPMS is likely to operate on bluetooth, and a wireless backup camera might do the same.
This will be costly...easily $2000. But this would be a very slick installation.
One more possible fly in the ointment. If the rig's factory stereo is a "high power" unit, like the system in my truck, the interface between the new head unit and the proprietary high-power amp might also set you back a couple hundred bucks.
But this would be an excellent option.