You still have not provided the beam loading (only the LL/sqft), or the available I beams weight. The following is my estimate
Assuming:
LL=20psf
DL=10psf
span=20'
Lu (Unbraced lenght)=20'
tributary area=30/2 + 2/2 = 16' using 1/2 the 30' span + 1/2 the 2' between the beam and garage
steel= A36
pinned end conditions
load duration factor=1
W flange
deflection allowable L/360
Summary
W8x28 is the min size
12,530 psi bending stress
2,210 shear stress
Max def .664"
You can of course, determine the bearing and attachment methods.