two of three vs Utah on the road...

Since the creation of the Pac-12, the Pac-12 champion has always hosted and always been a national seed.  That is only a four-year sample size.  To expand on that, though:

In 1999, the Pac-10 kicked Portland State out of the conference and got rid of the North and South Divisions.  In the same year, the NCAA expanded the field from 48 to 64 and instituted the Regional/Super Regional setup, which we have today.  Since 1999, i.e. each of the past 17 seasons, the Pac-10/12 champion has always hosted a Regional.  In fact, in 14 out of the 17 years, the Pac-10/12 champion has received a national seed.  There are only three years where the conference champion did not receive a national seed: 2002, 2006, and 2011.  In 2002, Stanford earned the national seed over USC, despite the Trojans winning the conference.  They met in a Super in Palo Alto and Stanford swept into the College World Series, finishing fourth.  In 2006, Cal State Fullerton took the West's national seed.  Oregon State won the conference and hosted.  The Beavers hosted the Super Regional after Stanford upset Texas in the Austin Regional.  In 2011, the entire region was down and the committee gave the top six seeds to ACC and SEC teams.  Pac-10 champion, UCLA, hosted, as did runner-up, Oregon State, and third-pace, Arizona State.  UCLA lost in its own regional.  The Beavs and Sun Devilsescaped their Regionals, only to lose against national seeds in the Super Regionals.  Sixth-place California won the Houston Regional and then hosted a Super Regional to get into the College World Series.

Now, this year, the conference looks down, but the Pac-12 Champion should still host a Regional.  Period.  To assert that the Pac-12 champion should receive anything less is to assert that the Pac-12 is a second-rate conference, which it is not.

To add to that analysis, remember that Santa Barbara may finish as a one-seed but cannot host a Regional, as their stadium does not meet the NCAA's minimum hosting standards.  They have a fallback host spot at Lake Elsinore, but they cannot host there this year either.  A Pac-12 team may host Santa Barbara as a two-seed.

Over the top response for emphasis:

The scarecrow needed a brain, the tin man needed a heart, and the cowardly lion needed courage.  When you get to the Emerald City, I really hope that the wizard has a bag filled with reading comprehension for you.  Also, the word I believe that you were looking for was "fare," not "fair."

For the past 19 years, the Pac-10/12 champion has hosted a Regional every single year.  Under the 64-team Tournament system, the Pac-12 champion has always hosted a regional.  The champion of the Conference of Champions being a two-seed would be an unprecedented slight.

In 2011, UCLA won the last Pac-10 championship and hosted a regional with an RPI of 34.

Moving on.  As you point out, the big series coming up is the one against Arizona.  If the Beavers can take two-of-three against the Wildcats, Oregon State will have the tiebreaker against the other three teams currently on top of the conference.  Oregon State needs to take at least two, and preferably three, from Stanford; beat Seattle; and then win the series against Arizona.  If the Beavers can do that, I feel good about Oregon State hosting.  If not, the Beavers' chances are bleak.  Big seven games coming up.