I'd check out a torch from this line:
http://www.amazon.com/gp/aw/d/B000NCZU0A?pc_redir=1401628686&robot_redir=1
They work great in terms of enough heat for glass and being able to dial it in to the flame size you're looking for. We use them to make much sharper points on our dabbers so hopefully that will work for your application.
Blazer GT8000 Big Shot Butane Torch https://www.amazon.com/dp/B000NCZU0A/ref=cm_sw_r_cp_api_glt_fabc_27DBKVCAY8DYJW8NNS3S
Sorry it’s out of the price you said but I own this one and does great for dabs and tools. I’d suggest getting the propane ones as they are cheaper fuel wise
https://www.homedepot.com/p/Bernzomatic-WK2301-Propane-Torch-Kit-333084/202539561
Highly recommend this one. Friend and I both have one and we've been using them for ~3 years. Best torches we've used.
Thanks for the heads up. I'm going to order a few to give away as gifts. Non mobile link: http://www.amazon.com/Blazer-GT8000-Shot-Butane-Torch/dp/B000NCZU0A/ref=cm_cr_pr_product_top
He should work on Blazer Big Shot GT8000s. Mine still feels and works as solid as the first day I got it. Its sometimes cheaper than the nitro too..
$48.45 on sale on Amazon http://www.amazon.com/Blazer-GT8000-Shot-Butane-Torch/dp/B000NCZU0A
Blazer BigShot 8000.....
Had mine for two years now and I know like 5 people who also have one... you can either get the blazer butane or other butane (I believe if you use adapter ends)
Blazer GT8000 Big Shot Butane Torch https://www.amazon.com/dp/B000NCZU0A/ref=cm_sw_r_cp_api_i_ZqJgCbTA020FG
This is the best IMO! https://www.amazon.com/Blazer-GT8000-Shot-Butane-Torch/dp/B000NCZU0A