What aircraft do you have? Gross weight allowance is not the only factor.
Your plane with a Gross Weight of 1300# is quite usual. The Zenith Cruzer and STOL are both 1320# Gross Weight. These aircraft regularly fly with 130HP engines. Even the 1100# Gross CH701 has been fitted with 130HP engines with great results. Check out Jon Humberd's "Super 701" and Deane Phillip's "JUG" on YouTube.
The Zenith Forum has eight different engines, each with their own discussion section and all of which have been well accepted by builders.
Would recommend you spend some time reviewing the Zenith engines forum. Just sign up to be a member.
HIGHLY recommend this HBH video from Jon Croke of HomebuiltHelp for a comparison on takeoff with various engines in the CH701.
Can your Homebuilt Aircraft have Too Much Power? - See the FIRST Link below.
and
HomeBuiltHelp also has an excellent guide on how to make an engine choice. See the second link.