Hi Alex,
First thing you might do is tape off the freshly painted area around the grill to protect it from possible scratches. Use blue painter's tape. That usually won't damage the paint if it's not left on too long, no more than a couple days. Test the tape in a hidden area to be sure, though.
Yes, the grill might need some gentle bending to get a proper fit. That's particularly true if there was body work done in the area around it, and/or if the grill came off another car. Also, check that the mounting tabs at the top and bottom aren't bent in some way, throwing off the fit elsewhere. No spacers should be needed. Keep at it, I'm sure you'll get it to fit. Watch that there is no interference with the hood opening and closing, too (althought that's less likely with the 4 grill than the 4A grill).
Sorry, I can't provide any pictures... my TR4 has a 4A grill, just because I like the grill design better. I've also got issues where body repairs around the front have the entire grill/valance off center... a future repair project!
Alan Myers
San Jose, Calif.
'62 TR4 CT17602L