If you only have ~5% equity in your first "primary" residence, I can completely understand why a lender would want a much lower LTV for your second "primary" in under 2 years.

Move found that the very local banks can usually turn these around in under 30 days.

Something will ALWAYS come up during inspection you can reduce or adjust your numbers then or go in under what your est is and let them bid you up.There's sheets on this site that even go into calc maintenance expenses down to items (roof, water heater etc based on anticipated life).

Trust me, those people are inundated with letters and post cards.

Second, if you are truly concerned about paying more than what the house is worth, remember that to get your mortgage you'll have to get an appraisal and if it comes in under the agreed upon price you can either re-negotiate or walk away.

They take down properties in under 5 days and have their loans and everything basically set up prior to writing the offer.

I put in under contract for sale one week after i bought it from the trustee.

It makes no difference really, unless it comes in under your contract price, then you'd have to cover the difference.

Guys like @J Scott and @Jay Hinrichs can probably run through this estimator in under ten minutes and then look at the line by line output and know where the estimator is running high or low. 

Most agents will inundate you with crap to sort through; someone with actual experience will do the sorting first.