In root position a B7 chord in the key of E minor would have scale degrees ^5 ^#7 ^2 and ^4. If I was to add ^3 as a soprano note and wanted a dominant chord what chord options could I have as ^3 in the soprano?

In root position a B7 chord in the key of E minor would be B,D#,F#,A and be made up of scale degrees ^5 ^#7 ^2 and ^4. So in 1st inversion the bass would be D#. If I was to add ^3 as a soprano note over this what chord options could I have? I know in root position ^3 is an extension of dominant but how does this fit in over D# in the bass? Are there other chord options with D# in the bass and G in the soprano? Is what I am hearing an inverted augmented chord (^#7 ^3 ^5)? Is this even a real chord? I quite like the sound of that resolving to a proper V65 chord because the ^3 resolves to ^2 which then resolves to ^1 in the tonic chord. So I kind of see why I like the voice leading but not sure what chord this could be.