@Jason Young First, make sure the IRA financial advisor knows if shredding the check is the best option. You have a 60 day rollover window to get those funds back into the IRA with no taxes or penalty.
Second, keep in mind that in addition to the taxes, you also pay a 10% early withdraw penalty. So that will be accessed on your tax return.
Third, please really consider the SDIRA, as opposed to paying unnecessary taxes- it just doesn’t make sense to give the IRS and state money they don’t deserve. It’s your money- you can keep it.
Last, a 401k loan might make sense for you. Wait until you build up your account enough to take a loan of $10k or 50% of 401k account balance up to a max of $50k, whichever is greater (typically). This also makes more sense than pulling money out of your IRA early.
I’m not sure what your housing marketing looks like either, but country-wide its pretty overheated and tough to find deals that make sense right now. Waiting a bit might be prudent.
Hope that helps