As hooverphonique already mentioned you will use the Blitter's barrel shifter when you want to write a BOb to an x-position which is not word-aligned.
To make shifting work you have to read and write an extra word. This is the space where the barrel shifter will shift the bits. You will choose a BLTAFWM of $ffff and a BLTALWM of $0000 to ignore the extra word being read and written. The ASH value shifts the mask in BLTAFWM/BLTALWM as well as the source A, which is preloaded with $ffff, to function as a mask for your BOb (A can also be pointed to a variable mask in memory).
The minterm used is $CA, for D = (A & B) | (!A & C).
You see that you also need the B and the C channel. B is the source which is pointing to the image of your BOB. The A channel defines which pixels are blitted from B onto the screen (D). The C channel is used to read the screen destination, so a pixel from the screen will be preserved in those regions where the mask is 0.
BSH must be used to shift the B source by the same amount as A. In your case it would be 0 when the destination pointer is word aligned and 8 when not.
Below you find a quick draft of what to do (unfortunately I didn't test it). But it can easily be extended to place masked BOBs at arbitrary coordinates on the screen.
Code:
TILE_BLTDMOD equ HARDWARE_WIDTH-(TILE_WIDTH+2)
TILE_BLTAMOD equ TILE_HARDWIDTH-(TILE_WIDTH+2)
moveq #-1,d4
clr.w d4 ; BLTAFWM=$ffff, BLTALWM=$0000
move.l #TILE_BLTAMOD<<16|TILE_BLTDMOD,d5
move.w #8<<6|2,d6 ; 8 lines, 1 word (+1 extra word)
move.l #$07ca0000,d7 ; BLTCON0: use B,C,D, D=AB+/AC, CON1=0
; word-align source and destination pointer
moveq #-2,d2
move.l a5,d1
and.l d2,d1 ; d1 source
move.l a6,d0
btst #0,d0
beq aligned
or.l #$80008000,d7 ; set BLTCON0 ASH=8, BLTCON1 BSH=8
aligned:
and.l d2,d0 ; d0 destination
drawbob:
btst #6,DMACONR
bne drawbob
move.l d7,BLTCON0
move.l d5,BLTAMOD ; set AMOD and DMOD
swap d5
move.l d5,BLTCMOD ; set CMOD=DMOD and BMOD=AMOD
movem.l d0-d1,BLTAPTH ; set BLTCPT and BLTBPT
move.l d0,BLTDPTH ; BLTDPT==BLTCPT
move.w #$ffff,BLTADAT ; always read $ffff from A as src mask
move.l d4,BLTAFWM
move.w d6,BLTSIZE