If you got no looms at all, heirloom body/gloves and a horse. Don't loom the Heavy lance.
As for your build, it's been ages since I've played lancer cav and am not completely sure how hl works on horseback these days, don't know the damage output but I would advise you don't spare points on riding even if you go for that build, I always used to go atleast 6 or 7 riding. I played 15/21 on a Champion Courser and with Heavy Lance like it used to be and the speed bonus form 7 riding Courser was pretty sweet, don't think you can pull it off nowdays though.
As for the horse I currently ride Champion Eastern Warhorse on my HA and it's amazing, the speed and the manouver is incredible, repairs are over 3k gold but it's well worth it, I rarely get dehorsed.