What you "can" do, and what is correct under IRS rules are not necessarily the same thing. Entry fees are not taxes, not interest, not charitable. In addition for many an itemized deduction on Sch A is of no benefit if the standard deduction exceeds itemized deductions in total.
Again, the only correct place to take a deduction for entry fees, or any other expenses associated with bowling is on Schedule C. You dont need to be a professional to file Sch C. There are rules and requirements under "Hobby Loss" limitations. You don't want to consistently take net losses on Sch C.