With small square & rectangle HSS members, you'll have to use engineering judgement or market knowledge to estimate a reasonable effective weld length/workable-flat (or google the shape and give a conservative guess).
There are a few quick and dirty approaches to welding HSS like this.
1) CJP and avert your gaze from mean looks from fabricator.
2) Size the fillet weld for the required flexure via a conservative flange force method (ignoring 2 walls of the HSS weld group)
Ff=Moment/hss_d and D_req = Ff/(weld_factor*estimated_effective_weld_length)
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D_max_sixteenths = phi_r*0.6*Fu_hss*design_wall_thickness_hss/weld_factor (variant of AISC Eq 9-2)
where: phi_r = 0.75 (LRFD) or 0.5 (ASD) and weld_factor = 1.392 (LRFD) or 0.928 (ASD)
3) You could also do an elastic method calc with the full weld group (Alex Tomanovich spreadsheet kicking around the internet).
4) Apply D_max_sixteenths and ask for EOR verification. If not acceptable, propose to use thicker hss for required loads.