My state is paying up to 12 months rent and late fees, 12 months utilities and they will pay rent going forward if you prove hardship.

If you have a good rate then enjoy your low interest debt and utilize your money in a better investment.Forrest Faulconer 

- Rent for a 2 bedroom in Rocklin is around $2400 per month + utilities. - How much do property managers charge?

These can include -Additional savings or reserves that you, or you co-borrower may have-Proof of payments done on time for utilities and/or rent-A letter explaining how the applicant would be able to make mortgage paymentsFor reference on how to calculate your DTI, check previous posts!

Get with your lawyer, but maybe you could utilize special option period clauses & simultaneous closes to only sell your property if you found a suitable replacement?

Utilizing any/all of this information! 

Utilize FHA loan for first time home buyer which requires you to put only 3.5% as down-payment plus closing cost meaning with your share of 10 k you can buy a property worth under 150 k all by yourself( 5,250 down-payment + 3750 approx towards closing cost ) idle approach is to buy it only on  your name for house hacking and to involve partner for other investmentopportunity... hope this helps..

How does that compare with your estimated loan payment, property taxes, insurance, utilities, etc. 

Is there a way to figure out if I pay the utilities, or the tenant does?

My wife and I live for free already (just pay utilities).