The 60 and 61 Chevy's used that particular "sweeping" trim at the aft end as you call it. Additionally, there should be a reflective red triangular sticker which goes into that area. (that deacal is available from the likes of Jim Carter et al.) You have a fairly rare combo there on that truck. I agree with your decision to use it. If it were mine, I find a chrome set of bumpers to complement the chrome grille. And then perhaps chrome the hood parklight bezels to match. Nice rig. Driving it while fixing it is most definitely the right way to go for that truck.
Find this brochure (actually a 1961 brochure)and you'll see how the trim should be.
http://www.google.com/imgres?imgurl=http://www.autopaper.com/Ebay1/fixed_price/67103a.jpg&imgrefurl=http://cgi.ebay.com/Chevrolet-1961-Truck-Sales-Brochure-/220580977955&usg=__Joz4WldJcnVraugS0v7B0FHaJHw=&h=320&w=529&sz=33&hl=en&start=0&sig2=oiebK_KsGM1eeVUriBD0Ig&tbnid=em2dAKhOalwkfM:&tbnh=79&tbnw=132&ei=-5pMTMiSJIHtnQe82-HYCw&prev=/images%3Fq%3D1961%2Bchevy%2Btruck%2Bbrochure%26hl%3Den%26safe%3Doff%26biw%3D1008%26bih%3D497%26gbv%3D2%26tbs%3Disch:1&itbs=1&iact=hc&vpx=160&vpy=247&dur=1107&hovh=80&hovw=132&tx=89&ty=51&page=1&ndsp=19&ved=1t:429,r:6,s:0
brochure