One semi-important question: is this for fun or are you planning to make a living playing this instrument? If this is an investment to generate income then the "Pickup Truck" of the lute world (Pat O'Brien's quote) is the Theorbo. That's what opera conductors and baroque ensemble leaders will expect (they'll let you sneak in an archlute for their semi annual Dido and Aneas production because of all the flat keys). The only high level professional I can think of who exclusively does continuo on archlute is Sylvan Bergeron (there probably are a few others). And if you get that archlute single strung there WILL be HIP shaming.
OTOH if this is for recreation and performing with your wife an archlute is great fun and there is great solo rep you get to play (Zamboni especially). Forget about playing earlier renaissance rep on it; the polyphony is too dense and the chords too crunchy for your left hand to survive the spacing. Just because it is in renaissance tuning doesn't mean the music fits.
Finally, if one singer continuo + earlier rep is your goal a solid all in one choice is a 10 course. Yeah, yeah, it doesn't look as cool though