I used to go to a Baptist church where the pastor constantly talked about tithing and giving more. It wore me out! We have since found a non-denominational church where tithing still goes on, but is rarely if ever talked about. I feel like this is the right approach for churches and will lead to more members and therefore more tithes. Our church is pretty large and has opened up other locations and additional service times. We do not tithe 10% and typically give $10-20 each time we go.
Please do not lump all Baptist in this category. I'm a Christian and I attend a Baptist Church. I've been in both scenarios you mention (both in Baptist churches). A good pastor will realize that tithing is a relationship matter between man and God. He will teach what the Word says on the subject and then moves on.
An inexperienced or cranky old pastor will (perhaps unintentionally) guilt people into giving. This does not work, especially long term.
The Bible says to give a tenth of your increase to your local church. If your not a member of the church, you need to examine why you're not a member before you worry about giving to it.
If you can't or don't feel good about it, pray about what you can do but
don't give out of guilt.
I believe the Biblical verses on tithing (when read in context), say the blessing comes from cheerful giving.