Actually difficult to establish all 32 clubs likely to be in the northern half of the draw, but it looks like:
Obviously Lincoln City, then:
Alfreton Town (National League North)
Altrincham (National League North)
Barrow (National League)
Bishop Auckland (Northern League Division 1)
Brackley Town (National League North)
Chester (National League)
Curzon Ashton (National League North)
FC Halifax Town (National League North)
FC United or Harrogate Town (both National League North)
Forest Green Rovers (National League)
Gateshead (National League)
Guiseley (National League)
Halesowen Town or Nantwich Town (both Northern Premier League Premier)
Kettering Town (Southern League Premier)
Kidderminster Harriers (National League North)
Leiston (Isthmian League Premier)
Lincoln United (Northern Premier League Division 1 South)
Macclesfield Town (National League)
Matlock Town or Workington (both Northern Premier League Premier)
North Ferriby United (National League)
North Leigh (Southern League Division 1 South & West)
Solihull Moors (National League)
Southport (National League)
Spennymoor Town (Northern Premier League Premier)
St Albans City (National League South)
Stamford (Northern Premier League Division 1 South)
Stockport County (National League North)
Stourbridge (Northern Premier League Premier)
Tranmere Rovers (National League)
Wrexham (National League)
York City (National League)
Therefore, of Lincoln's 31 possible opponents:
12 are from tier 5
9 are from tier 6
6 are from tier 7
3 are from tier 8 (Lincoln United, North Leigh, Stamford)
1 is from tier 9 (Bishop Auckland)
With Grimsby getting promotion, at least someone else has a chance of getting Bishop Auckland...