I used the following code to produce a correct signature:

public String sign(String msg, BigInteger d) throws IOException {
    ECDSASigner signer = new ECDSASigner();
    X9ECParameters params = SECNamedCurves.getByName("secp256k1");
    ECDomainParameters ecDomainParameters = new ECDomainParameters(params.getCurve(), params.getG(), params.getN(), params.getH());
    ECPrivateKeyParameters ecPrivateKeyParameters = new ECPrivateKeyParameters(d, ecDomainParameters);
    signer.init(true, ecPrivateKeyParameters);
    BigInteger[] sigs = signer.generateSignature(DatatypeConverter.parseHexBinary(msg));
    ByteArrayOutputStream byteArrayOutputStream = new ByteArrayOutputStream();
    DERSequenceGenerator seq = new DERSequenceGenerator(byteArrayOutputStream);
    seq.addObject(new DERInteger(sigs[0]));
    seq.addObject(new DERInteger(sigs[1]));
    seq.close();
    byte[] bytes = byteArrayOutputStream.toByteArray();
    return DatatypeConverter.printHexBinary(bytes);

}

I entered your unsigned raw transaction into file, and ran through these steps:

1.) create the unsigned raw tx and double hash

printf "010000000188802ffe48d0f9d2867495e933b1477094ce017f5d6e4204e40f1040ab805c16000000001976a9147abd6d64781930ee9abfaa75b0976b45ce9b93ba88acffffffff01a0860100000000001976a914c75073b564d6ebce3d5d12d59ab20d44bd10f69f88ac0000000001000000" > tmp_urtx.txt
xxd -r -p <tmp_urtx.txt >tmp_urtx.hex
# if no xxd (OpenBSD, FreeBSD ...), then this:
# result=$( cat tmp_urtx.txt | sed 's/[[:xdigit:]]\{2\}/\\x&/g' )
# printf $result > tmp_urtx.hex
openssl dgst -binary -sha256 >tmp_sha256.hex <tmp_urtx.hex
openssl dgst -binary -sha256 >tmp_dsha256.hex <tmp_sha256.hex
xxd -ps tmp_dsha256.hex | tr -d "\n" > tx_hash.txt
xxd -r -p <tx_hash.txt >tx_hash.hex

2.) create the pubkey.pem

echo 3056301006072a8648ce3d020106052b8104000a034200 > pubkey.txt
echo 04a75429241bc8c83e0a1c615155e9b984880f16d39b09b28eef464139fb84d8ff507a5d482e8f41cdb5a762436515d310f16b208bdce4ddfb8a30a7236d36a2da >> pubkey.txt
xxd -r -p <pubkey.txt | openssl pkey -pubin -inform der >pubkey.pem
openssl asn1parse -in pubkey.pem

3.) create the signature file

echo 3045022100FA512B36C030BAD0868E2679E1B29E32CCE0099DA086F8FD82010DFFF61B79BA02206C00220683E448C29CCE73FCD7F3CD74E3F76582C07F2F0B436EF247C2D2523F > tx_sig.txt
xxd -r -p <tx_sig.txt >tx_sig.hex

4.) verify all together

openssl pkeyutl <tx_hash.hex -verify -pubin -inkey pubkey.pem -sigfile tx_sig.hex

--> Signature Verification Failure

5.) conclusion

as it doesn't match, the link between privkey, signature and pubkey seems to be incorrect. I double checked the signature, it looks correct though:

#########################################################
### procedure to strictly check DER-encoded signature ###
#########################################################
Minimum and maximum size constraints                        - ok
scriptsig always starts with 0x30                           - ok
length 138 chars is less than actual sig length (142 chars) - ok
       (hex 0x45, decimal 69, 138 chars)
length of R coordinate (66) >= 0                            - ok
length of S coordinate (64) >= 0                            - ok
S-Value is within scriptsig boundaries                      - ok
Make sure the R & S length covers the entire signature      - ok
S-value must be smaller than N/2                            - ok
strictly check DER-encoded signature                        - ok
#########################################################

Maybe double check between priv and pubkeys? (compressed and uncompressed?)