No, this is a mistake of one or another sort. The adjective scathing per the OED means:

Of invective, etc.: Very sharp and damaging; searing, ‘withering’, cutting.

And for the derived adverb scathingly, it provides such citations as:

• 1847 Tait’s Mag. XIV. 238 ― A feeling of his insignificance flashed scathingly on the quivering pride of Robert Anderson.

 
• 1868 E. Edwards Ralegh I. xxii. 497 ― That Duke of Savoy whom Milton has made scathingly famous.

The intended meaning was doubtless one of these:

The likelihood of anyone in Rhode Island having or getting Ebola is vanishingly small.

 

The likelihood of anyone in Rhode Island having or getting Ebola is surpassingly small.

 

The likelihood of anyone in Rhode Island having or getting Ebola is infinitesimally small.

 

The likelihood of anyone in Rhode Island having or getting Ebola is unbelievably small.

 

The likelihood of anyone in Rhode Island having or getting Ebola is immeasurably small.

It is possible that the writer was actually thinking of the word scintilla in the sense of a tiny fleeting spark so by extension a very tiny (and perhaps brief) amount, and then was trying to make an adverb out of it. However, scintillatingly means sparkly, so that would not have worked.

No, this is a mistake of one or another sort. The adjective scathing per the OED means:

Of invective, etc.: Very sharp and damaging; searing, ‘withering’, cutting.

And for the derived adverb scathingly, it provides such citations as:

• 1847 Tait’s Mag. XIV. 238 ― A feeling of his insignificance flashed scathingly on the quivering pride of Robert Anderson.

• 1868 E. Edwards Ralegh I. xxii. 497 ― That Duke of Savoy whom Milton has made scathingly famous.

The intended meaning was doubtless one of these:

The likelihood of anyone in Rhode Island having or getting Ebola is vanishingly small.

The likelihood of anyone in Rhode Island having or getting Ebola is surpassingly small.

The likelihood of anyone in Rhode Island having or getting Ebola is infinitesimally small.

The likelihood of anyone in Rhode Island having or getting Ebola is unbelievably small.

The likelihood of anyone in Rhode Island having or getting Ebola is immeasurably small.

It is possible that the writer was actually thinking of the word scintilla in the sense of a tiny fleeting spark so by extension a very tiny (and perhaps brief) amount, and then was trying to make an adverb out of it. However, scintillatingly means sparkly, so that would not have worked.

No, this is an mistake of one or another sort. The adjective scathing per the OED means:

Of invective, etc.: Very sharp and damaging; searing, ‘withering’, cutting.

And for the derived adverb scathingly, it provides such citations as:

• 1847 Tait’s Mag. XIV. 238 ― A feeling of his insignificance flashed scathingly on the quivering pride of Robert Anderson.

• 1868 E. Edwards Ralegh I. xxii. 497 ― That Duke of Savoy whom Milton has made scathingly famous.

The intended meaning was doubtless one of these:

The likelihood of anyone in Rhode Island having or getting Ebola is vanishingly small.

The likelihood of anyone in Rhode Island having or getting Ebola is surpassingly small.

The likelihood of anyone in Rhode Island having or getting Ebola is infinitesimally small.

The likelihood of anyone in Rhode Island having or getting Ebola is unbelievably small.

The likelihood of anyone in Rhode Island having or getting Ebola is immeasurably small.

It is possible that the writer was actually thinking of the word scintilla in the sense of a tiny fleeting spark so by extension a very tiny (and perhaps brief) amount, and then was trying to make an adverb out of it. However, scintillatingly means sparkly, so that would not have worked.

No, this is a mistake of one or another sort. The adjective scathing per the OED means:

Of invective, etc.: Very sharp and damaging; searing, ‘withering’, cutting.

And for the derived adverb scathingly, it provides such citations as:

• 1847 Tait’s Mag. XIV. 238 ― A feeling of his insignificance flashed scathingly on the quivering pride of Robert Anderson.

• 1868 E. Edwards Ralegh I. xxii. 497 ― That Duke of Savoy whom Milton has made scathingly famous.

The intended meaning was doubtless one of these:

The likelihood of anyone in Rhode Island having or getting Ebola is vanishingly small.

The likelihood of anyone in Rhode Island having or getting Ebola is surpassingly small.

The likelihood of anyone in Rhode Island having or getting Ebola is infinitesimally small.

The likelihood of anyone in Rhode Island having or getting Ebola is unbelievably small.

The likelihood of anyone in Rhode Island having or getting Ebola is immeasurably small.

It is possible that the writer was actually thinking of the word scintilla in the sense of a tiny fleeting spark so by extension a very tiny (and perhaps brief) amount, and then was trying to make an adverb out of it. However, scintillatingly means sparkly, so that would not have worked.