Assuming you were still married on 31 Dec, filing jointly would be the easiest. However, you certainly can file separately. How you do that depends on the state you are filing in.
If your state is a community property state (Louisiana, Arizona, California, Texas, Washington, Idaho, Nevada, New Mexico, and Wisconsin) then you would include on your return 1/2 of all joint property (including wages/pay) plus anything that is strictly yours. Your spouse would do the same on her return.
If your state is not community property then you each would only put on your respective returns that which belongs to you.
There are no deductions for visiting a property you own.
For the the profits (gain) on the inherited property sale, remember the gain is only the amount of the sales price that exceeds the value of the property on the date of death. So if the property sold shortly after the inheritance there would be little if any gain to report for tax purposes.
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