i'm not sure if this will help with the budget you've got, but here are some of the things we've received in the past to 'logo-up' for company christmas gifts....
the standard corporate stuff like hats, toques, scarves, shirts (both tees, polos and dress shirts), jackets, hoodies, yoga pants, duffel bags, backpacks, towels
every once in a while you find someone who does something a little different and we'd get boxers and even the one time we got thongs... my only question to my customer was, 'won't an embroidered thong itch?!?!'
i do welcome back gifts for my mens hockey team every year and it's always fun coming up with cool gifts for the guys. this year i did flexfit caps with our team logo on the front, league logo on the back and # on the side.
in past years i've done toques and towels with our logo and the guy's number, blade tape with our logo on it, laser etched pucks, stainless steel water bottles (the water bottles were a HUGE hit.... a bunch of the guys wanted a second becuz their wives/kids claimed theirs!), moisture wicking 'under your gear' shirts - cool stuff like that - the guys love it and use all of it!!!!
i don't find it too hard to think of something new each year as i know the guys on my team pretty well. i'm looking at logo-ed flip flops (guys use those when they hit the showers after a game) and beer cozies for next year.
hope this helps!