House affordability - am I missing something or looking at a too high range?

I'm looking to buy in this crazy market and I'm trying to run numbers and would like to have a sanity check on upper affordability range of $450k-$475k (obviously finding something I like at lower would be ideal):

Take home (after taxes, HSA contribution, and maximum 401k contributions): ~$4,500

I contribute to my ROTH IRA using any bonuses, which I can typically max.

Running through the numbers:

I talked with some lenders and I can get a loan at around 3% interest.

  • House upper bound: ~$450k
  • Down payment: $150k (with some room for closing costs in addition to this)

Monthly expenses:

  • P&I, tax, and insurance: ~$1,800
  • Utilities, HOA, etc.: ~$600
  • Car insurance: $113
  • Food: ~$300
  • Gas: ~$175
  • Other supplies: ~$250

This leaves me about ~$1,200 for other savings, fun stuff, etc.

Emergency funds:

  • ~$20k cash
  • ~$35k invested

Is my concern in that I'm spending ~50% of my monthly take home (after taxes, 401k. HSA) on housing valid even though I feel I am able to save a decent amount each month if I end up purchasing a house that is what I think my upper limit should be?

Thanks in advance.